Question

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 4 boys and 14 girls are competing, how many different ways could the six medals possibly be given out?​

Answer 1

there are 1456 different ways that the six medals can possibly be given out.

Explanation:

There are different ways to approach this problem, but one common method is to use combinations.

First, we need to determine how many ways we can choose three girls out of 14, and three boys out of 4. This can be calculated using combinations:

Number of ways to choose 3 girls out of 14: C(14,3) = 364

Number of ways to choose 3 boys out of 4: C(4,3) = 4

Now, we can use the multiplication principle to determine the total number of ways to give out the six medals:

Total number of ways = number of ways to choose 3 girls * number of ways to choose 3 boys = 364 * 4 = 1456

Therefore, there are 1456 different ways that the six medals can possibly be given out.