There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers? `72` b. `78` c. `4` d. none of these

Explanation

4 out of 13 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 2 bowles.

`therefore` Number of ways `=4_{C_2} times9_{C_9}+4_{C_3} times9_{C_8}+4_{C_4} times9_{C_7}`



`=6+36+36`

`=78`
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