SOLUTION: A talent contest has 8 contestants. Judges must award prizes for first, second and third prizes. If there are no ties, (a) in How many different ways can the 3 prizes be awarded,

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Question 164173: A talent contest has 8 contestants. Judges must award prizes for first, second and third prizes. If there are no ties,
(a) in How many different ways can the 3 prizes be awarded, and,
(b) how many different groups of 3 people can get prizes?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
(a) 8 * 7 * 6 = 336 ways

(b) use combination:
C%288%2C3%29+=+8%21%2F%28%288+-+3%29%21+%2A+3%21%29
= 8+%2A+7+%2A+6+%2A+5%21%2F%285%21+%2A+3+%2A+2+%2A+1%29
= 8+%2A+7+%2A+6%2F6%29
= 8 * 7
= 56 groups