Question

Question #8b38a

Answer 1

24000

Explanation:

There are `""_6C_3 = 20` ways of selecting 3 boys from the group of 6 boys.
There are `""_5C_2 = 10` ways of selecting 2 girls from the group of 5 girls.
Therefore, there are `(""_6C_3)*(""_5C_2) = 200` ways of selecting the children.

Once you have selected five children, there are `5! = 120` different orderings of those children.

Therefore, there are `200*120 = 24,000` ways to both select and order the children.