# An 'Odd' Arrangement

Discrete Mathematics Level 5

In how many ways can you put 15 balls in 4 boxes such that each box contains an odd number of balls?

Details and Assumptions:

• All the balls are identical.
• All of the boxes should be considered identical. However, we can fit a box into another.
• No permutations are to be considered in the final arrangement of the items.

Bonus: Generalize the given situation for $$m$$ balls and $$n$$ boxes.

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