Subject
Quantitative Aptitude
Topic
Permutation & Combination
Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how many ways can it be formed selecting at least 2 women?
Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how many ways can it be formed selecting at least 2 women?
ক)
15খ)
16গ)
21ঘ)
35ঙ)
56Explanation
Case – I Committee contains 2 women and 1 men. ∴ No. of ways of forming this committee = (number of ways of choosing 2 women out of 3) × (number of ways of choosing 1 man out of 5) = 3 C 2 ⋅ 5 C 1 =3 × 5 = 15 Case – II Committee contain 3 women and 0 men No. of ways of forming this committee = number of ways of choosing 3 women out of 3. = 3 C 3 =1 ∴ Total number of ways = 15 + 1 = 16Related questions
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