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(#M40014322) MBA question permutations and combinations, probability Keep an EYE

Answer the questions on the basis of the information given below. In acricket academy, there are 72 players. A player is either a “batsman”or a “bowler” or an “all-rounder”. An all-rounder is a player, who is abatsman as well as a bowler. Further, each player in the academy wascategorized into either category A or category B. There are 13 bowlersin category A and 23 players in category B are classified only asbatsman. The aggregate number of players in the cricket academy is 6times the number of all-rounders in the academy. The total number ofall-rounders in category B is twice the number of all-rounders incategory A.A team comprising of 11 players is to be selected out of the players in category A. This particular team consists of exactly three players classified only as a batsman and exactly four players classified only as a bowler. If the number of batsmen in category A is minimum possible, then find in how many ways can this team be selected?

1) 15250
2) 15420
3) 18640
4) 27720
5) 31200

Asked In MBA (12 years ago)

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