khadijam74 khadijam74
  • 10-07-2020
  • Mathematics
contestada

There are 11 seats in a vehicle. How many ways can 11 people be seated if only 2 can drive

Respuesta :

joaobezerra joaobezerra
  • 15-07-2020

Answer:

They can be seater in 7,257,600 ways

Step-by-step explanation:

Arrangment formula:

Number of ways that n elements can be arranged, that is, distributed in n places is:

[tex]A_{n} = n![/tex]

In this question:

11 seats(driver and other 10).

Only 2 people can drive.

So

The driver can be 2 people.

The other 10 people are arranged in 10 positions.

[tex]T = 2A_{10} = 2*10! = 7257600[/tex]

They can be seater in 7,257,600 ways

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