The number of ways to pick 5 cards of different kinds is 52*48*44*40*36/5!
The number of ways to pick 5 cards is C(52,5)

The probability is the number of ways to pick 5 cards of different kinds over the number of ways to pick 5 cards.

--Rtabchou

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood