In a varient of Poker each player is dealt a hand of 6 cards from a standard pack How many hands are there of each of the following types? Three pairs: Two cards of the same value. another 2 of a differnt value, and a 3rd paid of a third value. i.e Q(clubs) Q(diamonds) 6(hearts) 6(diamonds) 4(spades) 4(hearts) .. For my attempt I started with 13C3 + 12C3 +11C3 ... + 3C3 = 1001 different hands But this hasn't accounted for the differnt variation of suits, threre are 6 possible pairs of suits, so i multiply 1001 by 6? thanks for any help!