Question #8b38a

1 Answer
Aug 19, 2017

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.