A cricket team consisting of 11 players is to be chosen from 8 batsmen and 5 bowlers. In how many ways can the team be chosen as to include at least 3 bowlers ?
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Answer:
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Step-by-step explanation:
given that 11 players to be chosen from 8 batsman and 5 bowlers such a s3 bowlers should be included
(i)this means we can have 3 bowlers and 8 batsman
➡️ 5C3*8C8
ii) 4 bowlers and 7 batsman
➡️ 5C5*8C7
(iii) 5 bowlers and 6 batsmen
➡️ 5C5*8C6
adding these three we get
5C3*8C8+5C5*8C7+5C5*8C6=10+5*8+28=78
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