From a pack of 52 playing cards, three are drawn at random. Find the probability of drawing a king, a queen and jack.
The probability of drawing a king, queen, and jack is;
$$\frac{3! 4^3}{52\,51\,50}$$
The probability of drawing a king, queen, and jack of different suits is:
$$\frac{3!~4!}{52\,51\,50}$$