In a class, 6 students are divided into 3 groups of 2 students each. In how many ways can the 3 groups be formed?

@Zarkon @digitalmonk

Question

In a class, 6 students are divided into 3 groups of 2 students each. In how many ways can the 3 groups be formed?

@Zarkon @digitalmonk

anonymous · Answer

First chose 2 from 6, then 2 from 4, then 2 from 2.

anonymous · Answer

6C2+4C2+2C2?

anonymous · Answer

add or multiply?

anonymous · Answer

Well, you'd do it in sequence.

anonymous · Answer

sequence tasks are multiplied.

anonymous · Answer

90 ways?

anonymous · Answer

90 looks right.

anonymous · Answer

multiplication is all items can or cannot be repeated ??

anonymous · Answer

Multiplication just how you combine two sequential tasks. It has nothing to do with repetition.

anonymous · Answer

ohh..
understand now

anonymous · Answer

Choosing does not allow repetition and order is not considered.

anonymous · Answer

That ensures each group is counted once, rather than twice for each permutation of the two person group.

anonymous · Answer

We did not do any counting which would factor in the order of the groups either, meaning we treated groups as being indistinct.

anonymous · Answer

ohh, you make me concepts cleared. thanks a lot