Six boys and six girls sit in a row randomly. The probability that all girls sit together is

As 6 boys and 6 girls are sitting in a row. So these 12 persons can sit in 12! Ways


Now group all 6 girls together and treat them as 1.


Now, all girls together can sit in 7! Ways


And girls can sit among self in 6! Ways.


total ways in which all 6 girls sit together = 7! × 6!


P(E) =


Hence,


P(E) = 1/132


As our answer matches only with option (d)


Option (d) is the only correct choice.

12