Question

There are 4 students in a small class. To make a team, the names of 3 of them will be drawn from a hat. How many different teams of 3 students are possible?

Answer 1

Explanation:

Order shouldn't make any difference.

3 C 4 = 4!/(3! 1!) = 4

Let's see if that is right.

1 2 3

1 2 4

1 3 4

2 3 4

Any other combination will produce a duplicate if order doesn't matter. For example

2 4 3 is the same thing as 2 3 4