Question 85
The Indian cricket team is to be selected out of fifteen players five of them are bowlers In how many ways the team can be selected so that the team contains at least three bowlers ?
Solution
To select a team of 11, there can be 5 bowlers and 6 batsmen or 4 bowlers and 7 batsmen or 3 bowlers and 8 batsmen. This can be done in $$C_6^{10} + C_4^5 \times C_7^{10} + C_3^5 \times C_8^{10}$$
= 1260
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