Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minPYQ_2014

MathematicsMediumsingle choice

In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?

Options:

Answer:

Solution:

A committee of 5 out of $6 + 4 = 10$ can be made in $^{10} C_{5} = 252$ ways. If no woman is to be included, thennumber of ways $=^{5} C_{5} = 6$ $∴$ the required number $= 252 - 6 = 246$

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

⏱ 2mℹ️ Source: PYQ_2014

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