A lawn care company has five employees that it schedules on a given da

Key in answering permutations and combinations questions is creating an accurate mathematical representation of the scenario presented.

To answer this question, we could represent the scenario in a few different ways. One way of representing the scenario is to use two layers of choice.

Since the five workers can work on 5 of the 10 lawns on a given day, the first layer of choice is determining which of the five lawns they will work on that day.

Since they will work on 5 out of 10 lawns, we need to choose 5 lawns.

So the first layer is 10C5 = 10!/5!5!.

Once we have chosen 5 lawns, we arrange the 5 workers on the five lawns.

So we have 5P5 = 5!.

To find the total number of arrangements, we multiply the formulas for the two layers.

10!/5!5! x 5! = 10!/5!

The correct answer is (D).