Finite Math Help!?

Question

An experiment consists of flipping a coin 5 times and noting the number of times that a heads is flipped. Find the sample space S of this experiment.

S =

How do you find the answer to this? is there some sort of formula? I have tried: 25,32,10,5,20,12,14,13,15,6,31,110

Answer 1

The thing that you're measuring is how many heads are seen when you flip a quarter 5 times.

The sample space is "all possible outcomes".

Therefore:

S = {0 heads, 1 head, 2 heads, 3 heads, 4 heads, 5 heads}