Question

Suppose there are 8 runners competing in the 400 meter race. The fastest three runners will win a ribbon. In how many ways can runners finish first, second, and third place?

Answer 1

`^8C_3=336way`

Explanation:

From the question we are told that

Number of runners
`N=8`

Distance
`d=400m`

Generally the top three places can be determined mathematically as

`^8C_3`

`^8C_3=336way`

therefore the top three can be determined in 336ways