Solve the problem.
-An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor.
A) .610
B) . 410
C) .910
D) .500

Question

Quizplus · Accepted Answer

The total number of ways the 4 passengers can get off on any of the 8 floors is 8^4. The number of ways they can get off on different floors is a permutation of 8 floors taken 4 at a time, which is 8P4. The probability is then 8P4 / 8^4 = (8*7*6*5) / (8*8*8*8) = 1680 / 4096 ≈ 0.410.

Solve the Problem. -An Elevator Has 4 Passengers and 8 Floors. Find the Floors