Question
In how many ways can a committee of 3 men and 2 women be
formed from 5 men and 6 women?Solution
The number of ways to select 3 men from 5 men = C(5, 3) = 5! / (3!(5-3)!) = (5 × 4 × 3) / (3 × 2 × 1) = 10. The number of ways to select 2 women from 6 women = C(6, 2) = 6! / (2!(6-2)!) = (6 × 5) / (2 × 1) = 15. Total number of ways = 10 × 15 = 150. Correct answer: a. 150
More Permutation and combination Questions
- Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN
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