I understand how you got the 46,45,44. Start with 52 cards, they each have 2 hole cards, so the next 3 draws are 46,45,44. I also understand that there are 6 cards that will help our 3 players get their sets. There are 3 groups of 4 cards, or 12 cards total, and our players already have 6 cards they were dealt.

What I don't understand is why we use 6, then 4, then 2 as the numerator in the (6/46)*(4/45)*(2*44) in the equation.

6+4+2=12 which is the total of the 3 sets of cards perhaps. But I don't see why the 6,4.2.

Can you help me understand that part?

Thank you.

Eric