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A committee of 4 is to be formed from 5 men and 3 women. In how many ways can it be formed if it must include at least one woman?

Competition practicePermutations & Combinations

A70
B60
C30
D65

Step-by-Step Solution

All committees:

^{8} C_{4} = 70

. All-men committees:

^{5} C_{4} = 5

. At least one woman:

70 - 5 = 65

.

Answer: D) 65

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