BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 2 girls?

A. 60
B. 30
C. 90
D. 120

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Answer: Option D

Explanation:

nCr = combination of n things taken r at a time = n!/((n - r)!*r!)

Number of ways to select 2 girls (exactly) from 4 - 4C2

6C3 - Number of ways to select remaining 3 boys from 6 to make total 3 + 2 = 5 for admission.

6C3 = 6!/(3!*3!) = 720/(6*6) = 20

4C2 = 4!/(2!*2!) = 24/4 = 6.

So, 6C3*4C2 = 20*6 = 120 ways.

Sonali-Janata-Agrani &amp-Rupali Bank Ltd. &amp-RAKUB Officer Recruitment 28.03.2008

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