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?

Question

Mathematics

Jayvon Shields

9 July, 18:19

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?

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Answers (1)

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Addison White · 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