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An ice-cream parlour offers only family packs of ice-creams with 11 different flavours. If each member of a family loves different flavours, then maximum how many such families can purchase the ice-cream if each family contains equal number of persons?

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Important Questions on Permutations & Combinations

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In the previous question (no. 34) what is the maximum possible number of member in a family?
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In a meeting everyone had shaken hands with everyone else, it was found that 66 handshakes were exchanged. How many members were present in the meeting?
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In how many ways can a cricket team of eleven players be chosen out of a batch of 16 players if a particular player is always chosen?
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In the previous question (no. 37) if a particular player is never chosen, then the number of ways in which a cricket team of eleven players can be chosen is :
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A cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicket keepers. In how many different ways can a team be formed so that the team has atleast 3 bowlers and atleast one wicket keeper?
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A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. In how many different ways can a team be formed so that the team contain exactly 2 wicket keepers and atleast 4 bowlers?
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A team of 11 cricketers containing 1 wicket keeper, 2 bowlers, 3 all rounders and 5 batsmen, is to be formed from a group of 25 cricketers containing 2 wicket keepers, 8 bowlers, 5 all rounders and 10 batsmen?

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Out of 3 books on Economics, 4 books on Corporate Strategy and 5 books on Philosophy, how many collection consists of exactly one book on each subject?