Question

Give a combination that would have the same answer as 100C96

Answer 1

100C4

Explanation:

Choosing 96 thing from a 100 would have the same number of possibilities as choosing 4 things from 100.

100C96 = 3,921,225

and

100C4 = 3,921,225

*Notice 94+4 = 100

To generalize the situation,

xCy = xC(x-y)

Here we'd have

100C96 = 100C(100-96)

or

100C96 = 100C4