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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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Important Questions on Permutations & Combinations

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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?
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In the previous question (no. 42 ) what is the number of different collections of books if atleast one book on each subject is taken?
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A box contains 7 red, 6 white and 4 blue balls. How many selection of three balls can be made so that all three are red balls?
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In the previous question (no. 44) if the red coloured ball is not taken, then the number of selections is:
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In the question (no. 44), if there is one ball of each colour, then the number of selections is :
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A box contains 5 different red and 6 different white balls. In how many ways can 6 balls be selected so that there are at least two balls of each colour