Question

Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the​ race?

Answer 1

Number of ways top 3 cars finish the​ race = 39,270

Explanation:

Given:

Total number of cars = 35

Number of top cars = 3

Find:

Number of ways top 3 cars finish the​ race

Computation:

It is a permutation based problem.

So,

npr = n! / (n-r)!

35p3 = 35! / (35! - 3!)

35p3 = 35 ! / 32!

35p3 = 35 × 34 × 33

35p3 = 39,270

Number of ways top 3 cars finish the​ race = 39,270