In how many ways can you choose 5 cards from a 52 card deck?

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In how many ways can you choose 5 cards from a 52 card deck?

2007-10-22 11:50:50 · 4 answers · asked by danahen2000 1 in Science & Mathematics ➔ Mathematics

4 answers

2,598,960 ways

The formula for n choose k is:
.... n!
-----------
k! (n-k)!

52 x 51 x 50 x 49 x 48
------------------------------
... 5 x 4 x 3 x 2 x 1

Cancelling from the numerator and denominator:
13 x 17 x 10 x 49 x 24 = 2,598,960

2007-10-22 11:57:13 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋

assuming the order of the cards do not matter, the number of 5 card combinations from 52 cards is:

52C5 = 52*51*50*49*48 / 5! = 2,598,960

2007-10-22 18:56:56 · answer #2 · answered by Anonymous · 0⤊ 0⤋

52! / 5!47!
52*51*50*49*48 / 5*4*3*2*1
2,598,960 ways

2007-10-22 18:57:02 · answer #3 · answered by mathguru 3 · 0⤊ 0⤋

BIG NUMBER

2007-10-22 18:58:32 · answer #4 · answered by believeeeeeee 2 · 0⤊ 2⤋