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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)
