Question #8b38a

1 Answer
Aug 19, 2017

Answer:

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.