kennedyknight20 kennedyknight20
  • 25-02-2020
  • Mathematics
contestada

How many ways can 10 people be seated on a bench if only four seats are available

Respuesta :

joaobezerra joaobezerra
  • 25-02-2020

Answer:

5040 ways

Step-by-step explanation:

Different orders in which people are seated are different outcomes. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

10 people on four seats

[tex]P_{(10,4)} = \frac{10!}{(10-4)!} = 5040[/tex]

5040 ways.

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