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!

floccinaucini May 10, 2020

#1**-5 **

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.

hugomimihu May 10, 2020

#2

#3**-5 **

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