Question 19
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In how many ways can the group sit around a round table?
I. The number of people is even.
II. When everyone shook hands with everyone else once, there were 15 handshakes.
- 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 Correct
- C Each statement alone is sufficient
- D Both statements together are sufficient, but neither statement alone is sufficient
- E Statements I and II together are not sufficient
Correct Answer: Option B
I: 4, 6, 8 … all even. Not sufficient.
II: nC2 = 15 → n = 6 → 5! = 120. Sufficient.
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