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 - MathMate, 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.
for an example of the generating function.
Discrete Math - correction - MathMate, Thursday, October 27, 2011 at 11:53pm
Sorry, there are 44 remaining pennies.
I got 1035 using the generating function.