Question

To play a particular card game, each player is dealt five cards from a standard deck of 52 cards. How many different han...


To play a particular card game, each player is dealt five cards from a standard deck of 52 cards. How many different hands are possible?

Answer

Combinations formula:

Number of ways to choose r objects from n distinct objects is Advanced Math homework question answer, step 1, image 1

Given: standard deck is of 52 cards

Total number of cards, n= 52

Each player is dealt five cards 

That is, r = 5

To find: Number of different hands 

That is, number of ways to choose 5 cards from 52 cards

Hence number of ways to choose 5 cards from 52 cards is Advanced Math homework question answer, step 2, image 1

Advanced Math homework question answer, step 2, image 2

ANSWER:

Number of different hands is 2,598,960

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