How many cricket teams of members eleven each can be formed from $15$ persons if captain is include in every team?

364

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1365

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1001

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1000

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Solution

The correct option is A $1001$
From a squard of $15, 11$ players can be choosen $,$ in $^{15} C_{11}$ way $= 1365.$
Out of these way $,$ each team has a captain in $, 2 \times 2 \times 7 \times 3$ = $364$ ways
$∴$ $1365 - 364$ = $1001$ ways $.$

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How many cricket teams of members eleven each can be formed from 15 persons if captain is include in every team?

The correct option is A 1001From a squard of 15,11players can be choosen, in 15C11 way =1365.Out of these way , each team has a captain in,2×2×7×3=364 ways∴ 1365−364=1001 ways.

How many cricket teams of members eleven each can be formed from $15$ persons if captain is include in every team?

The correct option is A $1001$
From a squard of $15, 11$ players can be choosen $,$ in $^{15} C_{11}$ way $= 1365.$
Out of these way $,$ each team has a captain in $, 2 \times 2 \times 7 \times 3$ = $364$ ways
$∴$ $1365 - 364$ = $1001$ ways $.$