<PRE><B>Question 298588</B>
If there are six contestants in a contest, in how many ways can 1st, 2nd and 3rd prize be won? 
# of ways to win 1st prize: 6
# of ways to win 2nd prize: 5
# of ways to win 3rd prize: 4
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Total number of ways: 6*5*4 = 120
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Another way to do it.
# of ways to pick 3 people from 6: 6C3 = 20
# of ways to give the prizes to the 3 people selected: 3! = 6
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Total number of ways: 20*6 = 120
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Cheers,
Stan H.</PRE>