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?

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,

                                       ............................(1)

                    Where, n - Positive integer

Step:2

                  From given, n = 10                  

                  Equation (1) becomes,

                                            = 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.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

your answer is b.

1,333 cubic feet  

and i know this one is right.