You shuffle a standard 52 card deck of cards, so that any order of the cards is equally likely, than draw 4 cards. How many different ways are there to make that draw, where you care about the order

Question

Dominic

Mathematics

15 October, 02:45

You shuffle a standard 52 card deck of cards, so that any order of the cards is equally likely, than draw 4 cards. How many different ways are there to make that draw, where you care about the order

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Singleton · Answer 1

270725 different ways

Step-by-step explanation:

The problem tells us that the order of the letters does not matter. Therefore, in the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r) !

We have to n = 52 and r = 4

C (52, 4) = 52! / 4! * (52-4) ! = 52! / (4! * 48!) = 270725

Which means that there are 270725 different ways in total to make that raffle