Question 1077465
One way is 47/50*46/49*45/48 and multiply by the number of possible ways to choose 3, which is 50C3.
A little better way is to say there are 47 good ones and you want to know how many ways you can choose from 47. 
47C3=16215  ANSWER
Using the probability above, unrounded, (rounded is 0.8273), 16215 is again reached.