Question

In how many ways 6 people can occupy the seats of a car if one of 3 particular people of them will drive ?

Answer 1

I fixed the person say A, who cannot sit with 2 of the other 5, in one place.

Now, the remaining 3 persons who can be seated to the next seats of A can be done in 3p2 ways (6 ways)

Note that we don't need to select those 3 from 5 because when you keep the 2 away the remaining 3 can be seated with A.

Now, the remaining 3 persons can be seated in the remaining 3 seats in 3p3 or 6 ways.

Therefore, 6*6=36 ways.