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A committee 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 a committee is

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a

211−26−13

b

212−27−35

c

211−27−35

d

212−27−13

answer is B.

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Detailed Solution

Solution: 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 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 a committee is