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

Permutations and combinations are used to select arrange a certain number of quantities from a group of quantities in a certain order. When we choose quantities at random, we use combinations to select them. 

But when we have to select and arrange them in a particular order, we use permutations to do the same. For example if we have to select 2 balls out of the total 10 balls, then we can choose any 2 balls using combinations but if we have to arrange those 2 balls at a particular place, permutations will be used.

A deck of cards contain 52 cards.

Ways to select 5 cards at random from a deck of 52 cards will be given using combinations as those 5 cards are not to be arranged in a particular order. The cards would be received at random.

Algebra homework question answer, step 2, image 1

Which means that there are 2598960 ways to distribute 5 cards.

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