You and six of your friends will go on a roadtrip. A seven passenger minivan is rented for the weekend. How many different ways can you and your friends sit in this vehicle?
To find the number of different ways you and your friends can sit in the minivan, we need to calculate the number of permutations.
In this case, the order matters because each seat is distinct. We can use the formula for permutations to solve this problem.
The number of ways to arrange n objects in a row is given by n!, which represents n factorial. "n!" means the product of all positive integers less than or equal to n.
Here, we have 7 seats available in the minivan to seat 7 people.
To calculate the number of possible arrangements, we can calculate 7!.
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
Therefore, there are 5040 different ways you and your friends can sit in the minivan.