Calculate the probability that each of four people in an elevator will get off on a different floor, given that there are four floors in the building.

Question

Anonymous · Accepted Answer

Each person can choose a floor independently from the others.
Which means that there are 4 x 4 x 4 x 4 = 256 possible combinations of floors
at which all 4 people got off.

To compute the number of combinations where each people got off on a different
floor, we can use the permutation calculation 4! / (4-4)! = 4 * 3 * 2 * 1 = 24

24 / 256 = 3 / 32 chance of all getting on a different floor

Calculate the probability that each of four people in an elevator will get off on a different floor, given that there are four floors in the building.

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