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In how many ways can 50 cards be chosen from a standard deck of 52 cards using permutations

Sagot :

Permutation of 50 is 50! or 50*49*48*47*46.... and so on. I doubt they actually want you to find out what 50*49*48... is, so I'd just put 50!
Varshamittal029idn

In 26*51! ways we can pick 50 cards from a deck of 52 cards using permutation.

What is Permutation?

Permutation is mathematical technique to get possibiltiy in arrangement with replacement.

We can choose or pick r objects from n objects using permutation in [tex]^nP_r[/tex] ways.

[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

n! = n*(m-1)*......*3*2*1

We can write n! = n(n-1)!

Total number of matters or cards = 52

We have to pick 50 cards using permutation or replacement.

The required number of ways [tex]=^{52}P_{50}=\frac{52!}{(52-50)!}=\frac{52\times51!}{2!}=26\times51![/tex]

Hence we can choose 50 cards from deck of 52 cards in 6*51! ways.

Learn more about Permutation here -

https://brainly.com/question/1216161

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