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Kisachek [45]
3 years ago
11

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

d 4 girls are competing, how many different ways could the six medals possibly be given out?
Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

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