SOLUTION: In how many ways can a group of 12 policemen group into 3 groups of 7, 3 and 2

Question 815307: In how many ways can a group of 12 policemen group into 3 groups of 7, 3 and 2

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are 66 ways to chose 2 out of a group of 12 if the order in which they are chosen does not matter: .

There are 120 ways to chose 3 from the remaining 10,
,
if the order in which they are chosen does not matter:
.

For each of the calculations above the math jargon is combinations of m elements taken from a set of n elements, calculated as =

So, there are 7920 ways to take a group of 2 and a group of 3 out of 12, leaving a group of 7 remaining:
.
RELATED QUESTIONS
Combinations 3. In how many ways can a group of 10 people be divided into (a) two groups (answered by Edwin McCravy)

In how many ways can a group of 10 people be divided into: a. two groups consisting of 7 (answered by lynnlo)

In how many ways can 12 poeple be divided into 3 groups of 4 persons(in each... (answered by sudhanshu_kmr)

in how many ways can a family of 9 divide itself into 3 groups that each group contains... (answered by stanbon)

A class has 12 students. In how many different ways can the students be put into lab... (answered by edjones)

In how many ways can a group of 10 people be divided into three groups consisting of 4,3, (answered by mananth)

How many ways can a group of 12, including 4 boys and 8 girls be formed into 2 groups of... (answered by stanbon)

In how many ways can a group of 24 students be organized into groups of 2 if student... (answered by stanbon)

Imagine that you have a set of integers e.g. {1, 2, 3, 4, 5, 6}. In how many ways can we (answered by Edwin McCravy)