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?

Answer 1

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.

Answer 2

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