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?
Solution
Correct Answer: Option B
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)
= 3C2 ⋅ 5C1 =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.
= 3C3 =1
∴ Total number of ways = 15 + 1 = 16
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