Latest Infosys Aptitude Question SOLUTION: Q. 7 man and 5 women are sitting in a circle and no two women sit together. In how many way they can sit

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Q. 7 man and 5 women are sitting in a circle and no two women sit together. In how many way they can sit

Asked In Infosys nitish kumar (10 years ago)

Solved RAKESH Read Solution (6)

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Read Solution (6) :

RAKESH  (10 years ago)

7 men can sit in a circle in (7-1)!= 6! ways
no two women sit together,so woman have to sit alternate to men
there will be 7 places,in which 5 women have to sit
so women can sit in 7 places as 7P5 ways
reqd ways= 6!*7P5

Is this solution Helpfull? Yes (33) | No   

DHAKAD NEETENDRA SINGH  (10 years ago)

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!

Is this solution Helpfull? Yes (7) | No   

nirmala  (10 years ago)

no two women sit togather so first arrange the men as 7!
then in between the men 6 places there so we can arrage the women in 6 places as 6p5
so ans:7!*6p5

Is this solution Helpfull? Yes (3) | No (6)  

Krishna Charan  (10 years ago)

first place 7 men in a circle. - 7!
then there will be 7 gaps (bcoz its circle)
now fill 5 women in 7 gaps. - 7p5
So answer is 7!*7p5

Is this solution Helpfull? Yes (1) | No (2)  

Senthil Balaji S  (10 years ago)

straight line ie M W M W M W M W M W M M

Is this solution Helpfull? Yes | No (7)  

abhinav upadhyay  (10 years ago)

answer is 7!*6P5

Is this solution Helpfull? Yes | No (3)  

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