In how many different ways can six people be seated in a six-passenger van?
To find the number of different ways to seat six people in a six-passenger van, we need to calculate the number of permutations.
Since there are six people and six seats in the van, we can start by considering the first seat. Any of the six people can be seated in the first seat, so there are six options.
Once the first person is seated, we move to the second seat. At this point, there are only five people remaining, so there are five options for the second seat.
Similarly, for the third seat, there are four remaining people and four options.
Continuing this process, for the fourth seat, there are three remaining people and three options.
For the fifth seat, there are two remaining people and two options.
Finally, for the sixth seat, there is only one remaining person, and therefore only one option.
To find the total number of options, we multiply all the available options together:
6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, there are 720 different ways to seat six people in a six-passenger van.