CA Foundation P3 · Chapter 5 · Question 3 of 9
A committee of 5 is to be formed from 6 men and 4 women. In how many ways can this be done if the committee must contain exactly 2 women?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 120
Explanation
Choose 2 women from 4: ⁴C₂ = 6. Choose 3 men from 6: ⁶C₃ = 20. Total = 6 x 20 = 120. ¹⁰C₅ = 252 ignores the condition, and 186 is the count for 'at least 2 women' (252 − 6 − 60).
More Basic Concepts of Permutations and Combinations MCQs
- Q5How many 4-digit even numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit is repeated?
- Q6If ⁿP₂ = 90, then n is:
- Q7The number of diagonals of a polygon with 12 sides is:
- Q8In how many ways can the letters of the word ARTICLE be arranged so that the vowels occupy only the even positions?
- Q9If ⁿC₈ = ⁿC₁₂, then ⁿC₁₇ is equal to: