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

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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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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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.
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