Answer to Question #279387 in Discrete Mathematics for Himanshi

Question

Three persons enter into car, where there are 5 seats. In how many ways can

they take up their seats?

Answer 1

The first person can choose to sit in any of the 5 seats in 5 ways.

Then the second person can choose to sit in any of the remaining 4 seats in 4 ways.

Lastly, the third person can choose to sit in any of the remaining 3 seats in 3 ways.

So, total number of ways = $5×4×3=60$ ways.