haileyshannon1
haileyshannon1 haileyshannon1
  • 10-05-2021
  • Mathematics
contestada

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?

Respuesta :

Аноним Аноним
  • 10-05-2021

Answer:

74046

Step-by-step explanation:

Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]

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

[tex]\frac{43!}{(43-3)!} =74046[/tex]

Hence the answer is 74046

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