In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?  Choose the correct choice from the following choices:
A) 20
B) 56
C) 120
D) 560
E) 720
1) Is it important here that how many go into finals... NO....   what is important is HOW many get medals..3   finally these 3 can be any of the 8 - 8C3=8!5!3!=8∗7∗63∗2=568C3=8!5!3!=8∗7∗63∗2=56   2) Is order important...NO   we are looking for groups only..   ans 56 ANSWER:56
<result>B</result>
In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?