Posted by Therese on .
In how many ways can a group of 10 people be divided into:
a. two groups consisting of 7 and 3 people?
b. three groups consisting of 4, 3, and 2 people?

Math 
JJ,
This is a combination
Do you know that 5! = 5x4x3x2x1 =120??
from the 10 people you will choose 7
10! divided by (7!3!)
Once you have your group of 7 then there are only 3 people left to put into the group of 3. That is only 1 way.
I think the answer is 4320 ways.
for 3 groups.
10!/4!6! for the first group
You chose 4 so you have 6 left to choose from.
You have 3 left to choose from
3!/2!1!
You will multiply the values from these 3 combination calculations to get your final answer.
6!/3!3! for the second group.