Question

In a running competition, a bronze, silver and gold medal must be given to the top

three girls and top three boys. If 9 boys and 13 girls are competing, how many
different ways could the six medals possibly be given out?

Answer 1

24,024 different ways

Explanation:

There are 9 boys and 13 girls competing for the medals. The number of ways to choose 3 boys out of 9 is C(9,3) = 84. The number of ways to choose 3 girls out of 13 is C(13,3) = 286. The total number of ways to choose 6 medals is the product of these two numbers: 84 * 286 = 24024.