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Question

A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is

20790

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Solution

The correct option is A 20790
There are 6 bowlers, 3 wicket keepers are 11 batsman in all. the number of ways in which team of 4 bowlers, 2 wicket keepers and 5 batsman can be chosen.

$=^{6} C_{4} \times^{3} C_{2} \times^{11} C_{5}$

$=^{6} C_{2} \times^{3} C_{1} \times^{11} C_{5}$

$= \frac{6 \times 5}{2 \times 1} \times \frac{3}{1} \times \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2 \times 1} = 20790.$

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A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is

The correct option is A 20790There are 6 bowlers, 3 wicket keepers are 11 batsman in all. the number of ways in which team of 4 bowlers, 2 wicket keepers and 5 batsman can be chosen. =6C4×3C2×11C5 =6C2×3C1×11C5 =6×52×1×31×11×10×9×8×75×4×3×2×1=20790.