http://www.pimp-your-poker.com/how-many-poker-hands-possible/

Can anyone solve this problem for us?
There is probably some kind of formula or way in which this problem, but my friend and I were never taught as do you, and it is on our math package that we just in the hand for one, so basically we are freaked out. Here's the problem A poker hand consists of 5 cards from a deck of 52 cards. How many different poker hands are possible, contain exactly 3 diamonds? 193 336 199 920 A. B. C. D. 211 926 229 354 Your help is greatly appreciated Thank you guys so much.
13 diamonds are taken 3 to only 13! / (3! X 10!), Which reduced 286 to the balance of the deck of 39 cards Taken two at a time are 39! / (2! X 37!) That reduces to 741 himself. The products from these results is reduced to (11x12x13) (38×39) / 12 = 211 926
Funny Poker Hands between Phil Hellmuth and Tony G [Part 3]