OPINION
PETTINE, District Judge.
These are two purported class actions pursuant to Federal Rule of Civil Procedure 231 instituted by the representative plaintiffs, Frank E. Berman, Rose Berman, and Muriel Winston, against the defendants, Narragansett Racing Assoc., Inc. and Burrillville Racing Assoc., Inc.2 An accounting, damages, and injunctive relief are sought. Jurisdiction is alleged on the basis of 28 U.S.C. § 1332(a) (1).3
A detailed statement of the factual background of the case is indispensable to a proper understanding of the principles to be enunciated in this opinion.
THE PARI-MUTUEL WAGERING SYSTEM IN R. I.
The pari-mutuel system of wagering in Rhode Island is permitted and controlled by the Rhode Island General Laws. R.I.G.L. §§ 41-1-1 to 41-4-13, as amended, 1956. That system operates on the premise of paying to the winning bettors on each race a certain percentage of the total money bet on that particular race. The total money bet on a particular race is called “the handle”, and the percentage paid to the winning bettors, currently approximately 84%, is called “the win pool”. The percentage not returnable to the bettors, currently 16%, is called “the commission” and is divided into two portions: The state of Rhode Island receives 8y2%, and the “licensee” racetrack receives 7%%. Of the 7%% that it receives the licensee racetrack, by an alleged annual contractual agreement with the horseowners, pays 44.7% to the group of horse-owners whose horses win purses.4 It [1260]*1260does not appear clearly in the pleadings or briefs filed in this case, nor did it appear clearly in the oral argument, by what means and in what portions the horseowners’. 44.7% of the track’s share of the commission is distributed amongst the individual members of the group of pursewinners.5 It is sufficient for purposes of this decision, however, to note that either the entire 44.7% or some portion thereof 6 is divided amongst and distributed to the individual members of the group of pursewinners in accordance with the discretion of the track.7
Tickets betting on a horse sharing in the win pool are divided into the money in the win pool by class, i. e., win, place, and show, to determine the amount of money the winning bettor receives on his bet. After the winning tickets are divided into the win pool by class, payments per ticket are broken “to the dime resulting from such wagering.” R.I.G.L. §§ 41-4-3, 4, as amended 1956. This is done to facilitate handling the payment of winning tickets. Thus, a winning ticket which would have been worth $4.-43, had a precise division to the cent been carried out, actually pays $4.40 under the current statutorily authorized practice. The odd cents of the win pool for each race are called “breakage” and are divided between the state of Rhode Island and the racetrack on an equal basis. R.I.G.L. §§ 41-4-3(b), 4(b), as amended, 1956.
THE PLAINTIFFS & THEIR CLAIM
The plaintiffs purport to represent all licensed owners of registered thoroughbred horses who won purses8 at the racetrack between 1934 and the present or who will win purses in the future. The plaintiffs claim that during the relevant period the 50% portion of the breakage paid over to the racetrack should have been and should be subject to distribution in part to the horseowners by virtue of a consensual agreement between them and the track. Specifically, the plaintiffs claim that 44.7% of the racetrack’s share of the breakage has been, is, and will be withheld from them in breach of the alleged contractual [1261]*1261agreement.9 However, as in the case of the distribution of “bonus money,”10 the means by which and the portions in which the 44.7% is to be distributed among the individual members of the group of pursewinners is discretionary.11 The plaintiffs ask the court for an accounting by which the gross quantity of money allegedly owing to the class will be ascertained and distributed amongst the members of the class in accordance with some rational formula devised by the court.12 The plaintiffs further request injunctive relief against the retention of money which will come into the control of the racetrack and will then allegedly be owing to the plaintiffs.
THE RACETRACK’S DEFENSES
The defendant moves for dismissal on four separate grounds: (1) the complaint fails to state a claim upon which relief can be granted; (2) the plaintiffs failed to join an indispensable party under Fed.Rule Civ.P. 19; (3) the plaintiffs have not stated a proper class action under Fed.R.Civ.P. 23; (4) the court lacks jurisdiction because the matter in controversy does not exceed $10,-000 within the meaning of 28 U.S.C. § 1332(a) (1).
JURISDICTION
The plaintiffs’ complaint alleges a matter in controversy far in excess of $10,000.13 However, the defendant’s answer attacks the premise upon which the plaintiffs’ jurisdictional assertion rests. Specifically, the defendant answers that aggregation of claims under Rule 23 is impermissible in this case, and that on the basis of the plaintiffs’ complaint there is absolutely no showing of any individual claim in excess of $10,000.14 The plaintiffs, confronted with this attack, argue that (1) aggregation is not only permissible but highly desirable under new Rule 23; (2) even if aggregation is impermissible, it cannot be shown “to a legal certainty” that the individual plaintiffs will not recover amounts individually in excess of $10,000, and hence the plaintiffs’ allegation must be deemed controlling.15
AGGREGATION
The initial inquiry is whether the claims of individual class members can be aggregated in order to exceed the minimum requisite jurisdictional amount of $10,000 set out in 28 U.S.C. § 1332 (a) (1). Since the very inception of the use of permissive and necessary joinder devices in the Federal Courts, the question of aggregation has been before the courts. Under the old equitable class action Rule 38, Nolen v. Reichman, 225 F. 812, 816 (W.D.Tenn.1915); Eberhard v. Northwestern Mutual Life Ins. Co., 241 F. 353 (6th Cir. 1917), the old Rule 23, e. g., Knowles v. War Damage [1262]*1262Corp., 83 U.S.App.D.C. 388, 171 F.2d 15 (1948), and new Rule 23, e. g., Alvarez v. Pan American Life Ins. Co., 375 F.2d 992 (5th Cir. 1967), the question of aggregation has been considered. The most succinct expression of the principle which has controlled the issue of aggregation is the Supreme Court’s statement in Pinel v.
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OPINION
PETTINE, District Judge.
These are two purported class actions pursuant to Federal Rule of Civil Procedure 231 instituted by the representative plaintiffs, Frank E. Berman, Rose Berman, and Muriel Winston, against the defendants, Narragansett Racing Assoc., Inc. and Burrillville Racing Assoc., Inc.2 An accounting, damages, and injunctive relief are sought. Jurisdiction is alleged on the basis of 28 U.S.C. § 1332(a) (1).3
A detailed statement of the factual background of the case is indispensable to a proper understanding of the principles to be enunciated in this opinion.
THE PARI-MUTUEL WAGERING SYSTEM IN R. I.
The pari-mutuel system of wagering in Rhode Island is permitted and controlled by the Rhode Island General Laws. R.I.G.L. §§ 41-1-1 to 41-4-13, as amended, 1956. That system operates on the premise of paying to the winning bettors on each race a certain percentage of the total money bet on that particular race. The total money bet on a particular race is called “the handle”, and the percentage paid to the winning bettors, currently approximately 84%, is called “the win pool”. The percentage not returnable to the bettors, currently 16%, is called “the commission” and is divided into two portions: The state of Rhode Island receives 8y2%, and the “licensee” racetrack receives 7%%. Of the 7%% that it receives the licensee racetrack, by an alleged annual contractual agreement with the horseowners, pays 44.7% to the group of horse-owners whose horses win purses.4 It [1260]*1260does not appear clearly in the pleadings or briefs filed in this case, nor did it appear clearly in the oral argument, by what means and in what portions the horseowners’. 44.7% of the track’s share of the commission is distributed amongst the individual members of the group of pursewinners.5 It is sufficient for purposes of this decision, however, to note that either the entire 44.7% or some portion thereof 6 is divided amongst and distributed to the individual members of the group of pursewinners in accordance with the discretion of the track.7
Tickets betting on a horse sharing in the win pool are divided into the money in the win pool by class, i. e., win, place, and show, to determine the amount of money the winning bettor receives on his bet. After the winning tickets are divided into the win pool by class, payments per ticket are broken “to the dime resulting from such wagering.” R.I.G.L. §§ 41-4-3, 4, as amended 1956. This is done to facilitate handling the payment of winning tickets. Thus, a winning ticket which would have been worth $4.-43, had a precise division to the cent been carried out, actually pays $4.40 under the current statutorily authorized practice. The odd cents of the win pool for each race are called “breakage” and are divided between the state of Rhode Island and the racetrack on an equal basis. R.I.G.L. §§ 41-4-3(b), 4(b), as amended, 1956.
THE PLAINTIFFS & THEIR CLAIM
The plaintiffs purport to represent all licensed owners of registered thoroughbred horses who won purses8 at the racetrack between 1934 and the present or who will win purses in the future. The plaintiffs claim that during the relevant period the 50% portion of the breakage paid over to the racetrack should have been and should be subject to distribution in part to the horseowners by virtue of a consensual agreement between them and the track. Specifically, the plaintiffs claim that 44.7% of the racetrack’s share of the breakage has been, is, and will be withheld from them in breach of the alleged contractual [1261]*1261agreement.9 However, as in the case of the distribution of “bonus money,”10 the means by which and the portions in which the 44.7% is to be distributed among the individual members of the group of pursewinners is discretionary.11 The plaintiffs ask the court for an accounting by which the gross quantity of money allegedly owing to the class will be ascertained and distributed amongst the members of the class in accordance with some rational formula devised by the court.12 The plaintiffs further request injunctive relief against the retention of money which will come into the control of the racetrack and will then allegedly be owing to the plaintiffs.
THE RACETRACK’S DEFENSES
The defendant moves for dismissal on four separate grounds: (1) the complaint fails to state a claim upon which relief can be granted; (2) the plaintiffs failed to join an indispensable party under Fed.Rule Civ.P. 19; (3) the plaintiffs have not stated a proper class action under Fed.R.Civ.P. 23; (4) the court lacks jurisdiction because the matter in controversy does not exceed $10,-000 within the meaning of 28 U.S.C. § 1332(a) (1).
JURISDICTION
The plaintiffs’ complaint alleges a matter in controversy far in excess of $10,000.13 However, the defendant’s answer attacks the premise upon which the plaintiffs’ jurisdictional assertion rests. Specifically, the defendant answers that aggregation of claims under Rule 23 is impermissible in this case, and that on the basis of the plaintiffs’ complaint there is absolutely no showing of any individual claim in excess of $10,000.14 The plaintiffs, confronted with this attack, argue that (1) aggregation is not only permissible but highly desirable under new Rule 23; (2) even if aggregation is impermissible, it cannot be shown “to a legal certainty” that the individual plaintiffs will not recover amounts individually in excess of $10,000, and hence the plaintiffs’ allegation must be deemed controlling.15
AGGREGATION
The initial inquiry is whether the claims of individual class members can be aggregated in order to exceed the minimum requisite jurisdictional amount of $10,000 set out in 28 U.S.C. § 1332 (a) (1). Since the very inception of the use of permissive and necessary joinder devices in the Federal Courts, the question of aggregation has been before the courts. Under the old equitable class action Rule 38, Nolen v. Reichman, 225 F. 812, 816 (W.D.Tenn.1915); Eberhard v. Northwestern Mutual Life Ins. Co., 241 F. 353 (6th Cir. 1917), the old Rule 23, e. g., Knowles v. War Damage [1262]*1262Corp., 83 U.S.App.D.C. 388, 171 F.2d 15 (1948), and new Rule 23, e. g., Alvarez v. Pan American Life Ins. Co., 375 F.2d 992 (5th Cir. 1967), the question of aggregation has been considered. The most succinct expression of the principle which has controlled the issue of aggregation is the Supreme Court’s statement in Pinel v. Pinel, 240 U.S. 594 at 596, 36 S.Ct. 416 at 417, 60 L.Ed. 817 (1916):
The settled rule is that when two or more plaintiffs having separate and distinct demands unite in a single suit, it is essential that the demand of each be of the requisite jurisdictional amount; but when several plaintiffs unite to enforce a single title or right in which they have a common and individual interest, it is enough if their interests collectively equal the jurisdictional amount.
The plaintiffs in this case have approached the Pinel principle with alternative arguments. First, they assert that they are within the ambit of the latter part of the principle and hence should be allowed to aggregate.16 Second, they claim that new Rule 23’s res judicata effect so modifies Pinel as to permit aggregation.
The plaintiffs’ position with respect to their first argument is that they have united to enforce their right to 44.7% of the breakage, in which they have an undivided interest. The argument falls down in two respects. First, the plaintiffs assert a right which is not a common right; rather, all the plaintiffs are actually asserting individual rights based on an alleged contract between them and the racetrack. More simply stated, if a single horseowner who won purses at the racetrack during the relevant period brought an individual contract action, his case could be decided without having to join all the other winning horseowners. Secondly, the fund sought is not an indivisible amount, it is only a currently undivided amount which can and must be divided eventually in order to pay damages. The plaintiffs actually attempt, with respect to this portion of their argument, to create the illusion of indivisibility as to the fund sought and of interlocking causes of action as to those seeking it. The court rejects that illusion and with it the plaintiffs’ first alternative argument.17
The plaintiffs’ second alternative argument is that the amendment to Rule 23 — by which all persons who are within the class are bound for res judicata purposes unless they affirmatively opt out — modifies the Pinel principle as applied to class suits, so as to make aggregation permissible. The argument is that the purposes for which Rule 23 was amended would be best served by permitting aggregation, and that, of the [1263]*1263five published precedents18 which consider the question of aggregation under new Rule 23, Booth v. General Dynamics Corp., 264 F.Supp. 465 (N.D.Ill.1967), Gas Service Co. v. Coburn, 389 F.2d 831 (10th Cir. 1968), and Collins v. Bolton, 287 F.Supp. 393 (N.D.Ill.1968) should control as against Alvarez v. Pan American Life Ins. Co., 375 F.2d 992 (5th Cir. 1967) and Snyder v. Harris, 390 F.2d 204 (8th Cir. 1967) affirming 268 F.Supp. 701 (E.D.Mo.1967).19 There is little doubt that the utilitarian purposes of new Rule 23 would be effectuated by a jurisdictional rule allowing aggregation in all maintainable class suits. Virtually all the learned commentators have taken that position, Cohn, The New Federal Rules of CiviL Procedure, 54 Geo.L.J. 1204, 1221, (1966), Frankel, Some Preliminary Observations Concerning Civil Rule 23, 43 F.R.D. 39 at pp. 48-53 (8th Cir.Jud.Conf.1967), VanDercreek, the “Is" and “Ought" of Class Actions under Federal Rule 23, 48 Iowa L.Rev. 273, 291-295, Comment: Adequate Representation, Notice and the New Class Action Rule: Effectuating Remedies Provided by the Securities Laws, 116 U.Pa.Law Rev. 889, 892 nn. 26 & 27 (1968); see also, 2 Barron & Holtzoff § 569 (Supp.1967 at 106, Wright ed.) 3A Moore j[ 23.13, p. 3477 ff, and with good reason, for a rule permitting aggregation would foreclose the piecemeal litigation of identical claims which has the undesirable possible consequence of conflicting substantive decisions in cases with identical fact patterns. It is instructive, however, that the readiest answer to the problem has been to amend 28 U.S.C. § 1332(a) (1) and not to make law which clashes with that section as presently written and construed.20 See, e. g. VanDercreek, 48 Iowa 273 at 291.
Even conceeding the plaintiffs’ social utility argument, there are insuperable barriers to aggregation. As is made clear by both the Pan American and Snyder cases, Rule 82 of the Federal Rules of Civil Procedure is the foremost barrier. That Rule, which is supposed to be nothing more than a restatement of an absolutely imperative construction of the Rules Enabling Act, 28 U.S.C. § 2072, see Sibbach v. Wilson & Co., Inc., 312 U.S. 1, 655, 61 S.Ct. 422, 85 L.Ed. 479 (1941); see also, 7 Moore ff 82.02 [1] at pp. 4601-4602; see generally H. Hart & H. Wechsler, The Federal Courts and The Federal System 577-597 (Foundation Press, 1953), states, in pertinent part:
These rules shall not be construed to extend or limit the jurisdiction of the United States District Courts or the venue of actions therein.
It is difficult to see how, if the plaintiffs’ argument is accepted, a violation of this rule can be avoided.
Moreover, purely as a matter of construction, and wholly apart from Rule 82, it is stretching, indeed, to read Rule 23, which says nothing whatsoever about jurisdiction as a gloss upon 28 U.S.C. § 1332(a) (1) of sufficient strength to change over fifty years, Pinel v. Pinel, 240 U.S. 594, 36 S.Ct. 416, 60 L.Ed. 817 (1916), of developed jurisdictional doctrine. As the District Court in Snyder [1264]*1264v. Harris, 268 F.Supp. 701 (E.D.Mo. 1967) stated at p. 704:
Rule 23, as amended, contains nothing to indicate that it has now become something more than a procedural device to permit several plaintiffs to unite in a single suit. The rule in no way purports to affect the jurisdiction of this court, nor do the Notes of the Advisory Committee on Rules indicate that the rule is to have such an effect. There is no reason why the Pinel doctrine should suddenly become obsolete with the passage of the amended Rule 23, unless the new rule somehow changes the character of a plaintiff’s right.
The plaintiffs’ reliance on Booth v. General Dynamics Corp., 264 F.Supp. 465 (N.D.Ill.1967) is misplaced. Booth sets out facts which the court states at p. 472 show the plaintiff taxpayers’ claim to be “common”, or, rephrasing, “undivided” within the meaning of Pinel. Hence, aggregation can be said to be permissible in Booth because Pinel is satisfied and not because of the effect of the amendment to Rule 2321 The plaintiffs’ reliance on Gas Service Co. v. Coburn, 389 F.2d 831 (10th Cir. 1968) and Collins v. Bolton, 287 F.Supp. 393 (N.D.Ill.1968)22 is well placed. The court makes no attempt to distinguish those cases, but rather meets them head-on and finds their rationales unacceptable.
As to the plaintiffs’ argument on aggregation the court determines that aggregation is not permissible under new Rule 23 unless the Pinel principle is satisfied.
THE INDIVIDUAL PLAINTIFFS & THE LEGAL CERTAINTY RULE
The plaintiffs’ complaint alleged a matter in controversy in excess of $10,000.23 The defendants’ answer attacked the plaintiffs’ assumption as to aggregation, and then on the basis of a ratio formula, which it alleged to be most favorable to the plaintiffs, concluded that it was mathematically impossible for any of the individual plaintiffs to assert a matter in controversy in excess of $10,000.24 The plaintiffs have, in the face of the defendant’s answer and supporting affidavits, advanced the theory 25 that, because the breakage fund has not yet been divided and distributed, and because the court must determine the distribution theory, it does not appear [1265]*1265“to a legal certainty” 26 that they cannot plead damages in excess of $10,000. While it is true that the distribution formula has not been determined and applied, this court thinks that the plaintiffs misconceive the import of the legal certainty rule. That rule may protect well-pleaded jurisdictional allegations where it is uncertain which of two or more conflicting theories of law will be applied, see, Hogg v. Burkhart Eng. Assoc., Inc., 171 F.Supp. 36, 37 (D.Mass. 1959), or where it is uncertain that the plaintiff can, in fact, prove what he has alleged but the allegation is in good faith. See Food Fair Stores, Inc. v. Food Fair, Inc., 177 F.2d 177 (1st Cir. 1949). That rule does not, however, shield a plaintiff, whose allegation has been attacked, from specifying under what theory and by what means the jurisdictional amount is to be met. See 2A Moore j[ 8.11 at pp. 1670-71 & nn. 18 to 20. In the instant case, there has been no allegation whatsoever as to how the individual plaintiffs can show individual claims exceeding $10,000. Because the defendants have so seriously questioned the plausibility of the plaintiffs’ claimed satisfaction of the amount requirement of 28 U.S.C. § 1332(a) (1) it is the plaintiffs’ obligation to specify exactly how they can recover more than $10,000 individually. Because they have failed to do so, the complaint is dismissed as to the plaintiffs individually.
Because of the disposition of this case on the jurisdictional questions, the court declines to pass on the defendants’ additional motions.
The case is hereby dismissed.