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Standard XII

Physics

Variation of G Due to Height and Depth

The Indian Cr...

Question

The Indian Cricket team consists of $16$ players. It includes $2$ wicket keepers and $5$ bowlers. In how many ways can a cricket eleven be selected if we have to select $1$ wicket keeper and atleast $4$ bowlers

1092

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Solution

The correct option is B $1092$
Total players $= 16$
Wicket keepers $= 2$
Bowlers $= 5$
Remaning $= ?$
$\Rightarrow^{2} C_{1} .^{5} C_{4} .^{9} C_{6} +^{2} C_{1} .^{5} C_{5} .^{9} C_{5} = 2 \times 5 \times 84 + 2 \times 1 \times 126 = 840 + 252 = 1092$

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The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and atleast 4 bowlers

The correct option is B 1092Total players =16Wicket keepers =2Bowlers=5Remaning =?⇒2C1.5C4.9C6+2C1.5C5.9C5=2×5×84+2×1×126=840+252=1092

The Indian Cricket team consists of $16$ players. It includes $2$ wicket keepers and $5$ bowlers. In how many ways can a cricket eleven be selected if we have to select $1$ wicket keeper and atleast $4$ bowlers

The correct option is B $1092$
Total players $= 16$
Wicket keepers $= 2$
Bowlers $= 5$
Remaning $= ?$
$\Rightarrow^{2} C_{1} .^{5} C_{4} .^{9} C_{6} +^{2} C_{1} .^{5} C_{5} .^{9} C_{5} = 2 \times 5 \times 84 + 2 \times 1 \times 126 = 840 + 252 = 1092$