SOLUTION: In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?

From the context, the order inside these groups does not matter.


Hence, the problem is on Combinations.


So, the ANSWER is :  in  .. =  = 360360 ways.


Explanation


First, you form the group of 3 from the set of 13 people in    ways.


Then you form the group of 6 from remaining 10 people in    ways.


Finally, you form the group of 2 from remaining 4 people in    ways.


After that, you just have no choice: the last group of two is just defined by a unique way.