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Permutation and Combination
Q. There are 7 men and 5 women sitting in a circle, find the all possible way so tht 2 women wont sit together
Read Solution (Total 6)
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- 7 man can sit in circle in (7-1)! ways
there are 7 places between 7 man
we have to sit 5 women in between them
no of ways selecting the 5 places out of 7 places = 7c5
no of arrangement for women= 7c5*5!
now,
total no of arrangement= 7c5*5!*(7-1)!
= 7c5*5!*6!
= 7p5*6! - 11 years agoHelpfull: Yes(35) No(2)
- in circle for men=7-1=6!
and for women there are 7 postions so it will be 5
hence the answer is
6!*7P5. - 11 years agoHelpfull: Yes(5) No(2)
- circular so, (n-1)!
so, 6!*7p5 - 11 years agoHelpfull: Yes(3) No(6)
- Women can only sit in the spaces between two men, i.e., in 7P5 ways.
7 men cann arrane themselves in a round table in 6! ways.
No. of ways = 7P5*6! - 10 years agoHelpfull: Yes(1) No(0)
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