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Posted by on Thursday, October 27, 2011 at 6:02pm.

With 50 pennies in three jars labeled A, B and C, how may ways can you put the pennies in the jars assuming they are identical with at least two pennies in each jar?

  • Discrete Math - , Thursday, October 27, 2011 at 10:50pm

    From the 50 pennies, put 2 in each of the jars to satisfy the constraint.
    Now we need to distribute the remaining 46 into 3 jars.
    Use generating function method to find the coefficient of a^44.
    See http://www.jiskha.com/display.cgi?id=1319753112
    for an example of the generating function.

  • Discrete Math - correction - , Thursday, October 27, 2011 at 11:53pm

    Sorry, there are 44 remaining pennies.
    I got 1035 using the generating function.

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