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Three schools have teams of 6 or more runners in a cross-country event. How many ways can the first 6 places be taken by the runners from these 3 schools?

Answer :

The ways to select the first 6 places be taken by the 3 schools​ is 20

How to determine the ways of selection?

From the question, we have

Total number of teams, n = 6

Numbers to schools, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 6 and r = 3

Substitute the known values in the above equation

Total = ⁶C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 6!/(3! * 3!)

Evaluate

Total = 20

Hence, the number of ways is 20

Read more about combination at

brainly.com/question/11732255

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