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
There are 5 people in total (you + 4 friends), and they are sitting in a row in the backseat of the limousine. The number of permutations can be written as 5!, which represents the number of ways the 5 people can be arranged in the row.
5! = 5 x 4 x 3 x 2 x 1
= 120
Therefore, there are 120 different ways you and your friends can sit in the backseat of the limousine.
To calculate the number of permutations, we'll start with the factorial form and then simplify it.
The number of ways to arrange 'n' objects can be given by n!.
In this case, there are 5 people (including you) who need to be seated in the backseat of a limousine.
So, the number of permutations will be 5!.
Calculating 5! (which means 5 factorial):
5! = 5 x 4 x 3 x 2 x 1 = 120
Therefore, there are 120 different ways you and your four friends can sit in the backseat of the limousine.
To calculate the number of permutations, we can use factorial notation (!). The formula for the number of permutations of "n" objects is n! (read as "n factorial").
In this case, you and 4 friends are sitting in the backseat of a limousine. Since the order in which you and your friends are sitting matters, we can calculate the number of permutations.
Using the formula n!, where n is the number of people (including you), we have:
5! = 5 x 4 x 3 x 2 x 1
Multiplying these values, we get:
5! = 120
So, there are 120 different ways for you and your four friends to sit in the backseat of a limousine.
In factorial form, the answer is 5!.