Permutations and Combinations

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There are 5 teachers, 4 doctors, 3 players who are involved in various activities like carrom, billiards and playing cards. Find 1\. In how many different ways 3 persons are to be selected to play billiards but there is no doctor?2\. In ho...
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There are 5 teachers, 4 doctors, 3 players who are involved in various activities like carrom, billiards and playing cards. Find 

1. In how many different ways 3 persons are to be selected to play billiards but there is no doctor?

2. In how many different ways 5 persons are to be selected to play cards in which maximum number of players?

3. In how many different ways 2 persons are to be selected to play carrom and both are from same post?

(Plz explain in detail)

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