SOLUTION: How many ways can a committee of 2 boys and 2 girls and an alternate of either gender be chosen from 5 boys and 6 girls?

Algebra.Com
Question 607661: How many ways can a committee of 2 boys and 2 girls and an alternate of either gender be chosen from 5 boys and 6 girls?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
We can choose the two boys any of 5C2 or 10 ways.
For each of the 10 ways to choose the boys, we can
choose the two girls any of 6C2 or 15 ways.  

That's 10·15 or 150 ways to choose the two boys and 
the two girls.  

For each of those 150 ways which we can choose the two 
boys and the two girls, we can choose the alternate as 
any of the 7 remaining people.  That's 150·7 or 1050 
ways.

Answer: 5C2·6C2·7 = 10·15·7 = 1050 ways.

Edwin
RELATED QUESTIONS

How many ways can a committee of 2 boys and 3 girls be formed from a class of 18 boys and (answered by ewatrrr)
From 6 boys and 4 girls, a committee of 5 is to be chosen so as to include 3 boys. In how (answered by oscargut)
In a group of 16 students there are 10 girls and 6 boys. determine the number of ways... (answered by ikleyn)
A student dance committee is to be formed consisting of 2 boys and 4 girls. If the... (answered by stanbon)
In how many ways can we select a committee of 3 boys and 2 girls form a class of 12 boys (answered by ewatrrr)
how many groups of 2 boys and 2 girls can be formed from 5 boys and 5... (answered by SUNIL1987MAURYA)
In class of 15 boys and 10 girls,in how many ways may a committee madde up of 3 boys and... (answered by vheroli)
There are 5 boys and 4 girls in a class. A committee of 5 is to be selected such that... (answered by edjones)
from a group of 8 boys and 6 girls, only one of each gender can be chosen to attend the... (answered by Edwin McCravy)