Question

If 10 friends are going to occupy 10 seats in shuttle on the way to the airport, how many different ways can they arrange themselves in the shuttle?

Answer 1

3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.

Step-by-step explanation:

The given is,

                   10 friends are going to occupy 10 seats in shuttle on the way to the airport  

Step:1

                   No. of friends - 10

                   No.of seats in space shuttle - 10

                   Formula to calculate the no. of ways to arrange,

                                       $P_{n} = n!$............................(1)

                    Where, n - Positive integer

Step:2

                  From given, n = 10                  

                  Equation (1) becomes,

                                     $P_{10} = 10!$

                                            = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

                                            = 3628800

                                            = 3628800 ways

Result:

                3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.