Question

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 11 boys and 8 girls are competing, how many different ways could the six medals possibly be given out?

Answer 1

Explanation:

There are 10 boys competing for 3 medals, so there are 10 choose 3 ways to award the medals to the boys. Similarly, there are 14 choose 3 ways to award the medals to the girls. Therefore, the total number of ways to award the six medals is:(10 choose 3) * (14 choose 3) = 120 * 364 = 43,680 So there are 43,680 different ways to award the six medals.