The first card can be any one of the 52 in the deck. For each one ... The second card can be any one of the 39 in the other 3 suits. For each one ... The third card can be any one of the 26 in the other 2 suits. For each one ... The fourth card can be any one of the 13 in the last suit.
Total possible ways to draw them = (52 x 39 x 26 x 13) = 685,464 ways.
But wait ! That's not the answer yet.
Once you have the 4 cards in your hand, you can arrange them in (4 x 3 x 2 x 1) = 24 different arrangements. That tells you that the same hand could have been drawn in 24 different ways. So the number of different 4-card hands is only ...
