Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor? Choose the correct choice from the following answers:
A) 5!/5^5  B) 5^5/5!  C) 5/5!  D) 5/5^5  E) 1/5^5
Each person out of 5 has 5 options, hence total # of outcomes is 5^5;   Favorable outcomes will be 5!, which is # of ways to assign 5 different buttons to 5 people   So basically # of arrangements of 5 distinct objects: 5!.   P=favorable/total=5!/5^5   5!/5^5nswer: 5!/5^5.
<result>A</result>
Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor?