Odds of quads

In ordinary 5-card draw, the kicker(sidecard) doesn't play. Two people can't have the same quads. I earlier calculated the number of possible hands you can get dealt, and all five cards was taken into account when I made this calculation. Therefore, I have to define quad hands by the kicker card as well as the rank of the quads.

It makes no sense to use an ace as a low card when you have quads. The ace gets the rank 14, and the smallest quads you can have is quad deuces. There are 13 different quads. When you have defined the rank of the quads, there are 48 different kickers you can have with these quads.

n(quad ace hands) = kicker combos = 48 quad ace hands

There are also 48 quad king hands, 48 quad queen hands and so on

n(quad hands) = quad combos * kicker combos = 13 quads * 48 quad hands/quad = 624 quad hands