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