DHGH said:For some reason I want to say its:
12*11*10*9*8
For card one, you have your choice of 12 cards, so you pick one of 12 possibilities.
For the second card, you have your choice of the 11 remaining cards, so 11 more possibilities for each of the preveious 12.
12*11*10*9*8 = 12!/(12-5)! or n!/(n-r)! the nCr formula needs an extra r in the denominator which yours forgets. Remember, permutations are different than combinations.
12*11*10*9*8 is wrong and I'll explain why. Your formula doesn't account for hands that are the same but drawn in different orders.
For instance, if you do it your way the hand K,K,K,K,Q would be a different hand than Q,K,K,K,K. If you use number of combinations of n objects taken r at a time you get rid of all these hands with the same cards but are drawn in different orders.
so in summary
12!/7! is WRONG (permutations)
12!/(7!5!) is RIGHT (combinations)
matt
BTW, im an upper div math major at university. however, it's been a long time since I took probability..