Question 423633
a full house is three if one type of card and two of another type ___ there are 13 types of cards 

there are 4 ways (4C3) to get three of a type , times 13 types , gives 52 ways for three of a kind 

there are 6 ways (4C2) to get two of a type , times 13 types , gives 78 ways to get a pair 

the one caveat is that you can't have three of a kind AND a pair of the same type 

so, 13 types of three of a kind with 12 types of pairs ___ 52 * 72 

or, 12 types of three of a kind with 13 types of pairs ___ 48 * 78 

the results are the same