The number of ways in which seven persons can be arranged at a round table if two particular persons may not sit together, is

The number of ways in which seven persons can be arranged at a 

round table if two particular persons may not sit together, is

  1. A

    480

  2. B

    120

  3. C

    80

  4. D

    none of these

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    Solution:

    Excluding the two particular persons, t! remaining five persons can be arranged at the round table in = 24 ways. Now, there are 5 gaps between them in ever .arrangement and the two particular persons can be arran;;: h1 these 5 gaps in 5p2 ,ways. 

    So, the required number of ways =24×5P2=480

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