people are entering a room with five doors and come out, how many ways are there if they can’t go out from the door they went in.
how do you find the area of a square
If a person comes in one of the five doors and can only leave from another door, that means there are four ways that person can leave.
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Multiply the height times width. With a square, the sides are equal, so area = s^2 (side squared).
To determine the number of ways people can enter a room with five doors and come out without using the same door they entered, we can use the principle of permutations.
Let's visualize the scenario. We have five doors: D1, D2, D3, D4, and D5. The first person entering has five options to choose which door to enter: 5 ways. Once the first person has chosen a door, the second person entering has four remaining options: 4 ways. Similarly, the third person has three options, the fourth person has two options, and the fifth person has one option.
To find the total number of ways, we can multiply the number of options available to each person:
5 * 4 * 3 * 2 * 1 = 120
Hence, there are 120 different ways for the people to enter and exit the room without using the same door they entered.