Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrEasy2 minPYQ_2016

MathematicsEasysingle choice

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:

Answer:

Solution:

There are 2 cases-

i. All the 4 are girls

ii. 3 girls and 1 boy

So the answer is

$(^{6} C_{4} +^{6} C_{3} .^{4} C_{1}) .^{4} C_{1} = 380$ ( $^{4} C_{1} =$ No. of ways of selecting captain)

Stream:JEE_ADVSubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: PYQ_2016

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