Judges will select 5 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Pick:
A) 10  B) 21  C) 210  D) 420  E) 560
First Select 5 from 7 contestants and then select top 3 from those 5 =   8C5*5C3 = 56 * 10= 
<gadget id="calculator">56 * 10</gadget>
<output>560</output>
560   ANS:560
<result>E</result>
Judges will select 5 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?