Question 420771
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 , your 3744 number