Question

How many ways can a group of three boys and three girls be seated in a row of six seats if boys and girls must alternate in the​ row?

Answer 1

Answer:

24

Step-by-step explanation:

there are 6 seats and 3 boys, 3 girls.

First seat can be given to either boy or a girl.

So there are two ways.

If a boy is selected say, then he has to occupy 3rd and 5th only.

There are 2 ways

Now available positions are 2nd, 4th and 6th, in this girls can be arranged in 3! ways = 6

So total number of ways =

$2x2x6 = 24$