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A standard deck of 52 playing cards has 4 suits with 13 different cards in each suit. How many different five-card hands are possible?
A) 260 hands
B) 2,598,960 hands
C) 24,380 hands
D) 311,875,200 hands

Respuesta :

I think the answer is B
carlos2112

Answer:

B) 2,598,960 hands

Step-by-step explanation:

This is a combination problem. So we can use the next formula:

[tex]C(n,k)=nCk=\frac{n!}{k!(n-k)!}[/tex]

Where:

[tex]n=Number\hspace{3}of\hspace{3}elements=52\\k=Number\hspace{3}of\hspace{3}combinations= 5[/tex]

So:

[tex]52C_5=\frac{52!}{5!(47!)}=2598960\hspace{3}hands[/tex]

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