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  • Number of ways in which a pack of 52 cards can be distributed equally among four person is Option: 1 <img alt="\frac{(52)!}{(13!)^4}" src="https

Number of ways in which a pack of 52 cards can be distributed equally among four person is 

Option: 1

\frac{(52)!}{(13!)^4}


Option: 2

^{52} C_4


Option: 3

\frac{52!}{4!}


Option: 4

\frac{52!}{(13!)^4.4!}


Answers (1)

best_answer

To distribute 52 cards equally, we need to first group 52 cards into 4 groups of 13 each and then distribute them in 4 people.

Number of ways to form 4 groups each with 13 cards is \frac{(52)!}{(13!)^4}.\frac{1}{4!}

Now, we have to distribute it in 4 people, which can be done in 4! ways

So, total number of ways = \frac{(52)!}{(13!)^4}.\frac{1}{4!}.4! = \frac{(52)!}{(13!)^4}

 

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vinayak

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