Latest Infosys Aptitude Question SOLUTION: 5 boys and 5girls sit around a circular table.what is the probability dat 5 boys are sitting together

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5 boys and 5girls sit around a circular table.what is the probability dat 5 boys are sitting together

Asked In Infosys selpareddisireesha (9 years ago)

Unsolved Read Solution (9)

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Read Solution (9) :

Shohini Sinha Ray  (9 years ago)

First, consider the case of 5 boys sitting together. Let the 5 boys be one group and 5 girls. So total we have 1+5 people sitting. Also the 5 boys themselves can be seated in 5! ways. Since its a circular table, 6 people can sit in (6-1)!x5! = 5! x 5! ways.

Now no. of ways 5 boys and 5 girls can sit = (10-1)! = 9! ways.

So, probability = (5! x 5!) /9!

Is this solution Helpfull? Yes (17) | No (1)  

sumit kumar  (9 years ago)

total no of ways 5 boys and 5 girls can sit = (10-1)!
i.e. 9! ways (circular table).
consider 5 boys in a single group so 5 boys themselves can be seated in 5! ways.
so now there should be arrangement of 6 people (i.e. 5 girls and 1 group of boys) = (6-1)! = 5!

so probability that 5 boys are sitting together = (5! * 5!) / 9!

Is this solution Helpfull? Yes (5) | No (1)  

tirupathi reddy  (9 years ago)

Ans:5!*5!
Consider 5 boys as 1 set
Total 5 girls+ 1 set = 6
In circle 6 can be arranged in 5! Ways
In 1 set boys can be arranged in 5! Ways

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

vinay  (9 years ago)

6! * 5! is the right answer consider 5boys as 1 and 5girls as it is
then (5+1)! * 5!

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

Mamatha Dodla  (9 years ago)

5*5!
5 ways it can be arranged and (n-1)! since it is a circular table.

Is this solution Helpfull? Yes (1) | No (3)  

Kuna  (9 years ago)

5!*5! since 5 boys should sit together, take them as 1 entity those 5 boys can be arranged in 5! ways Now remaining 5 girls and this 1 entity total= 6 . As circular arrangements. (6-1)!
Hence Total ways= 5!*5!

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

Sunil Bolishetti  (8 years ago)

4!x5!.
First fix girls position then by circular permutations no. of ways to arrange n girls=(n-1)!. Hence 4!.
In between there are 5 gaps for boys they can be arranged in 5! ways.
so 4!x5! is the answer.

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

Divya Choudhury  (9 years ago)

5+1=6!
b1b2b3b4b5 g1g2g3g4g5
boys sit together so 1
nd girls 5
so 1+5=6!(ans)

Is this solution Helpfull? Yes | No (6)  

jagadeesh  (9 years ago)

5!*5!
(n-1)! since it is a circular table

Is this solution Helpfull? Yes | No (2)  

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