Twenty people sit around at random at a round table. Find the probability that two people A,B sit with four people between them.
A
119.
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B
219.
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C
138.
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D
319.
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Solution
The correct option is A219. Suppose we fix any seat for A then B can sit in any other seats, so total ways =19. Now favorable cases =2, as B can sit on the left or on the right of A with four persons between them. Hence required probability=219.