Question 18
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How many 3-member committees with at least one woman can be formed from a club?
I. The club has 4 women.
II. The club has 9 members.
- A Statement I alone is sufficient, but Statement II alone is not sufficient
- B Statement II alone is sufficient, but Statement I alone is not sufficient
- C Each statement alone is sufficient
- D Both statements together are sufficient, but neither statement alone is sufficient Correct
- E Statements I and II together are not sufficient
Correct Answer: Option D
I alone: men unknown. Not sufficient.
II alone: women unknown. Not sufficient.
Together: 9C3 − 5C3 = 84 − 10 = 74. Sufficient.
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