Posted by **KC** on Wednesday, January 26, 2011 at 5:38pm.

A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group.

The answer in the book is 369600. But I do not understand how they got this answer.

- Math -
**MathMate**, Wednesday, January 26, 2011 at 9:47pm
The number of ways groups of m and (n-m) objects that can be formed from n distinct objects is

n!/(m!(n-m)!)

The analogous formula for groups each consisting of m1, m2, m3...mt objects (which add up to n) is:

n!/(m1!m2!m3!....mt!), where m1+m2+m3...mt = n.

Thus the number of ways of partitioning 12 students into 4 groups of 3 is 12!/(3!3!3!3!)

= 369600

- Math -
**keke**, Thursday, January 27, 2011 at 6:20pm
i don not no well the calclus is the same kinda so you should probally choose division yeah division

## Answer This Question

## Related Questions

- math logic - A group of five students needs to break into two smaller groups in ...
- Data management - 1) In how many ways can 12 distinct objects be seperated into ...
- Math - A math class has 25 students. There are 13 students who are only in the ...
- math - Dr. Mento has a class of 80 students. For a group project, he wants to ...
- math - In English Class, after studying a book called \The Lord of the Flies" by...
- Math - Mrs. Murphy separates her class into groups of 4 students each, 1 student...
- math - Of a group of students 5/8 of them are boys. The girls are put into ...
- math - Create two problems for your fellow students to solve. Make one of the ...
- statistics - If there are 24 students in a class, how many different-sized ...
- English - 1. A group of students help the sick. 2. A group of students helps the...

More Related Questions