JEE Advanced 2016 · Paper 1 · Mathematics Q38

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MathematicsSingle correct+3 / -1Question 38 of 54

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

380

320

260

Answer and worked solution

Official answer: A

Teams with at most one boy.

No boy: $\binom64=15$ .
One boy: $\binom41\binom63=80$ .

That is 95 teams.

Captain. Each team can choose its captain in 4 ways: $95\times4=380$ .

(A)

Topics:Combinations

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JEE Advanced 2016 · Paper 1, Mathematics question 38