- #1

- 56

- 1

I don't want to double count groups. Let's say I number the people from A - V. The group ABCDE and ACDBE should be considered the same group since they have the same elements.

I imagine the numerator is

[(22 choose 4)(18 choose 4)(14 choose 4)(10 choose 5)(5 choose 5) ]

I'm not sure what to divide by to get rid of counting extras.