Question: In how many ways can 3030 identical balls be distributed into 6 distinct boxes (numbered box 11, ... , box 66) subject to the following

In how many ways can 3030 identical balls be distributed into 6 distinct boxes

(numbered box 11, ... , box 66) subject to the following conditions.

1.) Each of the odd-numbered boxes gets exactly one ball and each of the even-numbered boxes gets at least one ball.

2.) Each box gets an odd number of balls.

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