Eight people are on an elevator that stops at exactly 8 floors. What is the probability that exactly one person will push the button for each floor?	Answers.
A) 8!/8^8
B) 8^8/8!
C) 8/8!
D) 8/8^8
E) 1/8^8
Each person out of 8 has 8 options, hence total # of outcomes is 8^8;   Favorable outcomes will be 8!, which is # of ways to assign 8 different buttons to 8 people   So basically # of arrangements of 8 distinct objects: 8!.   P=favorable/total=8!/8^8   8!/8^8nswer: 8!/8^8.
<result>A</result>
Eight people are on an elevator that stops at exactly 8 floors. What is the probability that exactly one person will push the button for each floor?