Question

Put 25 marbles into 3 piles, each has an odd # of marbles. How many ways can you do this???
Do you have the formula?

Answer 1

Clearly, since 3 does not divide evenly into 25, you cannot do this without some marbles left over.

Answer 2

23-1-1,21-1-3,19-1-5,19-3-3, and so on