Posted by Samantha 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  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.
See http://www.jiskha.com/display.cgi?id=1319753112
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.