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There are 6 bowlers in a cricket team of 14 players. In how many ways, can a team of 11 cricketers be chosen such that

There are 6 bowlers in a cricket team of 14 players. In how many ways, can a team of 11 cricketers be chosen such that at least 4 bowlers are to be included?

A committee of 5 is to be formed from 4 ladies and 6 gentlemen. In how many ways, this can be formed when the committee must contain at least one lady and two gentlemen?

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