Question 92

A committee of 3 members is to be formed out of 3 men and 4 women. In how many different ways can it be done so that at least one member is a woman?

Solution

Number of ways of selecting any 3 members = $$^7C_3 = 35$$
Number of ways of selecting only men = $$^3C_3 = 1$$
Number of ways of selecting such that at least one member is a woman = 35 - 1 = 34

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SBI 2004 PO

A committee of 3 members is to be formed out of 3 men and 4 women. In how many different ways can it be done so that at least one member is a woman?

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