7 people go to a concert. In how many different ways can they sit in the assigned seats?
There are 7 people and 7 seats, so the first person can choose any of the 7 seats. Once that person is seated, there are only 6 seats left for the second person to choose from. For the third person, there are 5 seats left, then 4 for the fourth person, 3 for the fifth person, 2 for the sixth person, and finally only 1 seat left for the seventh person.
So the total number of ways the 7 people can sit in the assigned seats is:
7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
Therefore, there are 5,040 different ways the 7 people can sit in the assigned seats.
To find the number of different ways the 7 people can sit in their assigned seats, we can use the concept of permutations.
The number of different ways the 7 people can sit in their assigned seats is denoted as 7!.
The factorial of 7 (7!) can be calculated as follows:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
Therefore, there are 5,040 different ways the 7 people can sit in their assigned seats.