How many ways are there to select 4 cards from a standard deck of 52 cards (how many combinations are there)?

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How many ways are there to select 4 cards from a standard deck of 52 cards (how many combinations are there)?

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Answer 1 · 2018-07-03T07:21:16

$52 C 4 = \frac{52!}{4! \cdot (52 - 4)!}$ $52C4=(52!)/(4!·(52-4)!$

Explanation:

Those are the different ways to select 4 from 52 cards.

This expresion could be re-write in form

$52 C 4 = \frac{52!}{4! \cdot (52 - 4)!}$ $52C4=(52!)/(4!·(52-4)!$

$= \frac{52!}{4! \cdot 48!} = \frac{52 \cdot 51 \cdot 50 \cdot 49}{4!} = \frac{6497400}{24} = 270725$ $=(52!)/(4!·48!)=(52·51·50·49)/(4!)=6497400/24=270725$

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How many ways are there to select 4 cards from a standard deck of 52 cards (how many combinations are there)?

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