A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
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If a boy is selected then number of ways = 4 C 1 . 6 C 3
If a boy is not selected then number of ways = 6 C 4
Captain can be selected in 4 C 1 ways
Required number of ways = 4 C 1 . 6 C 3 - 4 C 1 + 6 C 4 . 4 C 1 = 380
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