Q. 24

# Mark the correct alternative in the following:

Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?

A. 265

B. 263

C. 264

D. 275

Answer :

5 out of 14 players are bowlers.

In other words, 9 players are not bowlers.

A team of 11 is to be selected so as to include at least 4 bowlers.

Number of ways = ^{5}C_{4} ^{9}C_{7} + ^{5}C_{5} ^{9}C_{6}

= 180 + 84

= 264

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