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4. In a card game, each player is dealt a hand of 7
cards from a deck of 52 playing cards. Which
expression represents the number of hands
possible?

Respuesta :

facundo3141592

Answer: the number of combinations is 133,784,560

Step-by-step explanation:

If we have a set of N things, the number of combination of K objects of those N is:

[tex]c = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 52 and K = 7

so the expression is:

[tex]C = \frac{52!}{(52 - 7)!7!} = \frac{52!}{45!*7!} = \frac{52*51*50*49*48*47*46}{7*6*5*4*3*2*1} = 133,784,560[/tex]

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