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 ?

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None of these

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Solution

The correct option is B
78

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.

$∴$ Number of ways $=^{4} C_{2} \times^{9} C_{9} +^{4} C_{3} \times^{9} C_{8} +^{4} C_{4} \times^{9} C_{7}$
$= 6 + 36 + 36 = 78$

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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 ?

The correct option is B 78 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. ∴ Number of ways = 4C2× 9C9+ 4C3× 9C8+ 4C4× 9C7 =6+36+36=78