CA Foundation · Quantitative Aptitude · Permutations and Combinations
A committee of 4 is to be selected from 5 men and 4 women, such that Mr. Iyer, one of the men, is always included. In how many ways can this be done?
The committee can be formed in 56 ways. Mr. Iyer is already included, so the other 3 places are filled from the remaining 8 people, giving 8C3 equal to 56.
- A56Correct
- B70
- C84
- D126
Explanation
Since Mr. Iyer is fixed, choose the other 3 members from the remaining 8 persons: 8C3 = 56. The value 126 is 9C4, ignoring the condition.
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