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Which one of these solutions is correct (and why) for this exercise regarding bit string?
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How many bit strings of length 60 are there such that:
The bit string has at most twenty-five 0s and at most thirty-seven 1s, and also the bit string corresponding to the first thirty-one positions contains at least seven 0s and at least twenty-four 1s, and the bit string corresponding to the last seventeen positions contains at least fifteen 0s.
Solution 1: https://ibb.co/0tvkX82
Solution 2: https://ibb.co/gPNPnTh
Solution 3: https://ibb.co/L8MgGyK
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