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Circular Permutation

The number of...

Question

The number of ways that 7 boys can be seated round a table so that 2 particular boys are always separated, is

A

240

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B

720

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C

480

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D

960

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Solution

The correct option is C 480
Total ways of arranging 7 boys at a round table = (7–1)! = 6! = 720
Total ways of arranging 2 boys sitting together = 5! 2! = 240.
$∴$ Total number of ways in which they are separated = 720 – 240 = 480

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