Question

A stack of 8 different cards are shuffled and spread out face down. if 5 cards are turned face up, how many different 5-card combinations are possible?

Answer 1

There are 56 different combinations of cards.

This is a combination problem, not a permutation.

Therefore, first we need to find the number of total possibilities.

It would be:  8 x 7 x 6 x 5 x 4
6720

Then, we need to divide those possibilities by the number those 5 cards can be rearranged.

6720 / (5 x 4 x 3 x 2 x 1)  = 56