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MathNet 2020 — Math Olympiad Vault — Part 04 Question 97

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 97

Thirty-two people sit equally spaced around a circular table. In how many ways can three be selected so that no pair is adjacent or diametrically opposite?
(A)2246
(B)2480
(C)3616
(D)24128
(E)None of the above