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3.R: References

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    3133
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    1. N. L. Biggs, “The Roots of Combinatorics," Historia Mathematica, vol. 6 (1979), pp. 109–136.
    2. P. R. de Montmort, Essay d’Analyse sur des Jeux de Hazard, 2d ed. (Paris: Quillau, 1713).
    3. F. N. David, Games, Gods and Gambling (London: Griffin, 1962), p. 146.
    4. M. vos Savant, Ask Marilyn, , 21 August 1994.
    5. J. Riordan, (New York: John Wiley & Sons, 1958).
    6. P. Doyle, “Solution to Montmort’s Probleme du Treize,” math.ucsd.edu/\(\tilde{\ }\)doyle/.
    7. P. Doyle, C. Grinstead, and J. Snell, “Frustration Solitaire," , vol. 16, no. 2 (1995), pp. 137-145.
    8. R. von Mises, “Über Aufteilungs- und Besetzungs-Wahrscheinlichkeiten," Revue de la Faculté des Sciences de l’Université d’Istanbul, N. S. vol. 4 (1938-39), pp. 145-163.
    9. W. Feller, vol. 1, 3rd ed. (New York: John Wiley & Sons, 1968).
    10. J. Stirling, Methodus Differentialis, (London: Bowyer, 1730).
    11. A. de Moivre, The Doctrine of Chances, 3rd ed. (London: Millar, 1756).
    12. H. S. Wilf, “A Bijection in the Theory of Derangements," vol. 57, no. 1 (1984), pp. 37–40.
    13. E. B. Dynkin and A. A. Yushkevich, trans. J. S. Wood (New York: Plenum, 1969).
    14. W. Feller, vol. 1, 3rd ed. (New York: John Wiley and Sons, 1968), p. 41
    15. B. Pascal, (Paris: Desprez, 1665).
    16. A. W. F. Edwards, (London: Griffin, 1987).
    17. ibid., p. 27.
    18. J. Needham, vol. 3 (New York: Cambridge University Press, 1959), p. 135.
    19. N. Tartaglia, (Vinegia, 1556).
    20. Quoted in Edwards, op. cit., p. 37.
    21. M. Stifel, (Norimburgae, 1544).
    22. G. Cardano, (Basilea, 1570).
    23. F. N. David, op. cit., p. 235.
    24. A. W. F. Edwards, op. cit., p. ix.
    25. J. Bernoulli, (Basil: Thurnisiorum, 1713).
    26. W. Feller, vol. I, 3rd ed. (New York: John Wiley & Sons, 1968), p. 106.
    27. E. Lucas, “Théorie des Functions Numériques Simplement Periodiques," vol. 1 (1878), pp. 184-240, 289-321.
    28. B. Mann, “How Many Times Should You Shuffle a Deck of Cards?", , vol. 15, no. 4 (1994), pp. 303–331.
    29. D. Bayer and P. Diaconis, “Trailing the Dovetail Shuffle to its Lair," , vol. 2, no. 2 (1992), pp. 294–313.

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