Question

an elevator starts with 5 people on the first floor of an 8 story building and...

an elevator starts with 5 people on the first floor of an 8 story building and stops at each floor.

a, in how many ways can all the people get off the elevator?

b. what is the probability that no two people get off on the same floor?

Math   Statistics-And-Probability   
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Answer #1

An elevator starts with 5 people on the first floor of an 8 story building, and stops at each floor.

a) The first person can get off at 8 floors. Irrespective of this choice, the second person can get off at 8 floors. So can the third person, the fourth person and the fifth person.

So, all the people can get off the elevator in

So, the answer is 32768.

b) Now, if no two people can get off at the same floor, this means each of the 5 persons would get off at different floors.

Now, the order is important.

So, 5 people can get off at 8 floors, in

So, the probability that no two people get off at the same floor is

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