If there are 18 chairs numbered 1-18 around a round table, how many different ways can 3 people sit, so that no 2 people are adjacent?

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If there are 18 chairs numbered 1-18 around a round table, how many different ways can 3 people sit, so that no 2 people are adjacent?

mathmathj28 Jan 19, 2020

edited by mathmathj28 Jan 19, 2020
edited by mathmathj28 Jan 21, 2020
edited by mathmathj28 Jan 23, 2020

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1⁺⁰ Answers

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The number of ways is 18*17*16 - C(20,2) = 4706.

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