SOLUTION: In a music award ceremony, 5 female singers are competing for the gold, silver, and bronze awards under 'the best female singers'. If Kate is one of the winners, how many permutati

Question 1104841: In a music award ceremony, 5 female singers are competing for the gold, silver, and bronze awards under 'the best female singers'. If Kate is one of the winners, how many permutations are there for the winners in the 3 awards?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Kate, who is one of the winners, is one of the 5 contestants, so you need to choose 2 of the other 4 to be the other two winners. The number of ways of doing that is "4 choose 2" = .

Then the three winners can get the gold, silver, and bronze awards in any of 3!=6 orders.

So the total number of permutations, given that Kate is one of the three winners, is 6*6 = 36.
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