Question

In poker, a person is dealt 5 cards from a standard 52-card deck. The order in which you are dealt the 5 cards does not ...


In poker, a person is dealt 5 cards from a standard 52-card deck. The order in which you are dealt the 5 cards does not matter. How many different 5-card poker hands are possible?

Answer

Given:

A person is dealt 5 cards from a standard 52-card deck.

The objective is to find the different number of possible 5-card poker hands.

Let's find the different combinations.

Crn=n!(n-r)! r!C552=52!(52-5)! 5!C552=52!47! 5!C552=52×51×50×49×48×47!47!×5×4×3×2×1C552=52×51×5×49×4C552=2598960.

Hence, the different number of possible 5-card poker hands are 2,598,960.

Recent Questions