SOLUTION: How many ways are there to choose five cards from 52 so that you have four cards with the same rank.

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Question 1147364: How many ways are there to choose five
cards from 52 so that you have four cards with the same rank.

Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!
We first choose the rank of the four cards in any of these 13 ways, 
{Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King}.

[Note: I changed your word "number" to "rank" because "Jack", Queen",
and "King" are NOT numbers. "Ace" may be taken as "1" but those can't. lol]

For each of these 13 ways to choose the rank of the four cards,
there are 48 other cards we can choose for that odd fifth card.

So the answer is 13×48 or 624 ways. 

Edwin