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A debate club consists of 6 girls and 4 ...

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

A

380

B

320

C

260

D

95

Text Solution

Verified by Experts

The correct Answer is:
A
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`
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