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You are dealt  cards from a standard deck of 52 cards. How many ways can you be dealt 5 cards so that the 5 cards contain two cards of one rank, two cards of another rank, and a fifth card of a third rank? We say that such a hand has two pairs. For example, the hand QQ225 has two pairs. (Assume that the order of the cards does not matter.)

 

Thank you!

 May 10, 2020
 #1
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First, I am 99.99% sure this is from AoPS Intro to Counting and Probabilty, but at this point, I'm too tired to care.

 

For card one you hav 52/52 chance, for the second, you have 4-1 =3     3/51 chance

 

I'll let you continue from here

 

If you don't understand anything feel free to ask.

 May 10, 2020
 #2
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Stop trying to cheat on your homework.

 May 10, 2020
 #3
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Thannks for saying what I usually say.

 

Of course if flocci didn't pay attention in class then he/she probably won't be able to get any answers from my minimal hint

hugomimihu  May 10, 2020

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