getzgetzu wrote:

If 6 people are to be divided to 3 different groups, each of which has 2 people. How many such groups are possible?

Forming first group C(6,2) = 15

Forming second group C(4,2) = 6

Forming third group C(2,2) = 1.

Number of ways of forming 3 groups = 90.

-----------------------------------------------------------------------

The answer changes if the groups are named groups. Say, we have 3 groups, Reps, Dems and Inds. Since any group of 2 can be assigned to any named group, we have 6 more ways of doing that.

Then number of ways = 540.

Btw I think the question "How many such groups are possible" has a simple answer : 3. You already mentioned that we divide 6 people into 3 groups

_________________

Who says elephants can't dance?