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circular permutation


sjpre10

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  • 3 weeks later...

Hi,

 

8 Men and 2 Women can be seated around the table in (10-1)! ways.

 

No of ways you can arrange 2 women around a table sitting opposite to each other = 10

No of ways we can arrange 8 men = 8!

totoal no of ways you can arrange 8 men and 2 women where the 2 women sitting opposite to each other = 10 * 8!

total no of ways you can arrange 8 men and 2 women around a table, where the 2 women are not sitting opposite to each other = 9! - 10 * 8!

 

Thanks,

Sharath

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