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How many ways can we feed 42 identical bananas to 6 different monkeys so that each monkey receives an odd number of bananas?

Discrete Math
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I would think that since there's 42 bananas, we would have 43C6. But I don't know how to handle the "odd" part of it.
42C6
Your correct I just tried it out and it is 42 bananas

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oops
5,245,786
That's just 42C6. I don't think that's right.
It is
What about the odd number of bananas part of the question?
Refer to the Mathematica 9 attachment.
1 Attachment

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