How many two-person committees can be selected from a set of 8 people.

Question

8nCr2=28
I need a reason why it is 28 when you input it into the calculator

Answer 1

you are filling two slots ... 8 people for the 1st, and 7 people for the second
... 8 * 7 = 56

BUT ... Joe and Sue on the committee is the same as Sue and Joe
... order is not important

so there are 56/2 ways to select the committee