In 2651! 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 \(^nP_r\) ways.
\(^nP_r=\frac{n!}{(n-r)!}\)
n! = n(m-1)......321
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 \(=^{52}P_{50}=\frac{52!}{(52-50)!}=\frac{52\times51!}{2!}=26\times51!\)
Hence we can choose 50 cards from deck of 52 cards in 6*51! ways.
Learn more about Permutation here -
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