Four people are on an elevator that stops at exactly 4 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) 4!/4^4  B) 4^4/4!  C) 4/4!  D) 4/4^4  E) 1/4^4
Each person out of 4 has 4 options, hence total # of outcomes is 4^4;   Favorable outcomes will be 4!, which is # of ways to assign 4 different buttons to 4 people   So basically # of arrangements of 4 distinct objects: 4!.   P=favorable/total=4!/4^4   4!/4^4nswer: 4!/4^4.
<result>A</result>
Four people are on an elevator that stops at exactly 4 floors. What is the probability that exactly one person will push the button for each floor?