In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys are to have the first, third, and fifth seats?

36 ways.

Step-by-step explanation:

There are 3 seats available to the 3 girls.

So we need to find the number of ways we can arrange 3 girls.

This is 3! which works out to 3*2*1 = 6 ways.

Now the 3 boys can also be arranged in 6 ways in their 3 seats.

So the total number of arrangements are 6*6 = 36.