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A committee consisting of at least three members is to be formed from a group of $6$ boys and $6$ girls such that it always has a boy and a girl. The number of ways to form such committee is:

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212−27−13

211−26−13

212−27−35

211−27−35

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detailed solution

Correct option is A

. Required number of ways= 6C1+6C2+…+6C6 6C1+6C2+…+6C6− 6C1 6C1=26−126−1−36=212−27−35

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A committee consisting of at least three members is to be formed from a group of 6 boys and 6 girls such that it always has a boy and a girl. The number of ways to form such committee is:

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A committee consisting of at least three members is to be formed from a group of $6$ boys and $6$ girls such that it always has a boy and a girl. The number of ways to form such committee is: