In how many ways can 5 men and 5 women be arranged on a circular table

Asked by Archana Venkatesan | 29th Sep, 2013, 07:12: PM

Expert Answer:

The 5 men can be seated around the circular table such that there is a vacant seat between every pair of men. The number of ways in which these men can be seated = 4! = 24 ways.  
 
Now, the 5 vacant seats may be occupied by 5 women in 5! = 120 ways   
 
Therefore, the required number of ways = (24 x 120) = 2880 ways.

Answered by  | 29th Sep, 2013, 11:05: PM

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