Question

Use a permutation expression to solve.

In a race of 43 people, how many different ways can the runners place in 1st, 2nd, and 3rd?

Answer 1

74046

Explanation:

Permutations =
`_np_r=(n!)/((n-r)!)`

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

`(43!)/((43-3)!) =74046`

Hence the answer is 74046