Judges will select 6 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?
Choose the correct option
A) 10	B) 21	C) 210	D) 420	E) 560
First Select 5 from 7 contestants and then select top 3 from those 5 =   8C6*6C3 =28 * 20= 
<gadget id="calculator">28 * 20</gadget>
<output>560</output>
560   ANS:560
<result>E</result>
Judges will select 6 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?