Question

Can i get some help with this one so i can be done for today lol

Answer 1

Explanation:

Lets understand how to solve the permutations.

Let the example is
`^(5)P_(2)`.

`^(5)P_(2)=(5!)/((5-2)!)`

`=(5!)/(3!)`

=
`(5* 4* 3* 2* 1)/(3* 2* 1)`

=
`(5* 4* 3!)/(3!)` [Since 3×2×1 = 3!]

= 20

Now we will solve the question given,

Number of ways Dave can put 7 cars together =
`^(23)P_(7)`

`^(23)P_(7)=(23!)/((23-7)!)`

`=(23!)/(16!)`

`=(23* 22* 21* 20* 19* 18* 17* 16!)/(16!)`

`=23* 22* 21* 20* 19* 18* 17`

`=1235591280`