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

Options

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

Answer

A

Explanation

Either one boy will be selected or no boy will be selected. Also out of four members one captain is to be selected.
`therefore`Required number of ways`=(.^(4)C_(1)xx.^(6)C_(3)+.^(6)C_(4))xx.^(4)C_(1)`
`=(4xx20+15)xx4=95xx4=380`