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 tem. If the team has to include at most one boy, then the number of ways of selecting the team is

Options

A. 380
B. 320
C. 260
D. 95

Explanation

We have to first select a team of 4 consisting of at most one boy and them a capital is chosen from the team. A team of 4 can be chosen in `(""^(6)C_(4)+""^(6)C_(3)xx""^(4)C_(1))` ways and now a captain (from amongst 4 members of the team) can be chosen in `""^(4)C_(1)` ways.
Hence, the number of ways of selecting the team
`(""^(6)C_(4)+""^(6)C_(3)xx""^(4)C_(1))xx""^(4)C_(1)=380`