SOLUTION: There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different o

Algebra ->  Permutations -> SOLUTION: There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different o      Log On


   

Question 1202959: There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For both boys and girls, the number of ways to rank the top 3 out of 6 is

P(6,3) = 6*5*4 = 120

So the number of ways of ranking the top 3 of both boys and girls is

120*120 = 14400

ANSWER: 14400