Question

If there are 6 girls and 5 boys who sit in a row, then the probability that no two boys sit together is : 

Answer 1

Correct option (c)

Explanation:

 Six girls and five boys can sit in a row in 11 ! ways. 

∴ exhaustive number of cases = 11 ! 

Six girls can sit in a row in 6 ! ways and in each such arrangement there are 7 places between them in which 5 boys can be seatd in ⁷P₅ ways. 

Therefore, the total number of ways in which no two boys sit together = 6 ! ⁷P₅. 

Hence, required probability