write the number of permutations in factorial form.then simplify. how many different ways can you and four of your friends sit in the backseat of a limousine?
A)4!;24
B)4!;120
C)5!;120
D)5!;720
plz help
how u get that?
5!
120
To find the number of permutations or ways to arrange people in a specific order, we can use the factorial notation.
The factorial notation is represented by an exclamation mark (!) and it means to multiply a number by all positive whole numbers less than itself down to 1.
In this case, we need to find the number of different ways you and your four friends can sit in the backseat of the limousine.
Since there are five people (you and your four friends), we can write the number of permutations in factorial form as 5!.
Now let's simplify the factorial expression:
5! = 5 x 4 x 3 x 2 x 1 = 120
Therefore, the correct answer is option C) 5!; 120 - There are 120 different ways for you and your four friends to sit in the backseat of the limousine.