Question

6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is

A. 1/432

B. 12/431

C. 1/132

D. none of these

Answer 1

If all the girls sit together, then consider it as 1 group.

Total number of persons = 6 + 1 = 7 persons

∴ Total number of arrangements in a row of 7 persons = 7!

and the girls interchanges their seats in 6! ways.

Hence, the correct option is (C).