Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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!

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

#SPJ2

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.