Question

In a class of 15 students, there are 5 girls. in how many different ways can they be arranged in a row such that no two of the five girls are consecutive?

Answer 1

total number of Students = 15 Students
and
NUmber of girls = 5 girls
thus
number of boys = 10

According to question

Ways in which they can be seated
                                                      = 10! X 5P2 X 5!
                                                       = 10 * 9 * 8 * 7 * 6 * 10
                                                       = 302400