Seven people are on an elevator that stops at exactly 7 floors. What is the probability that exactly one person will push the button for each floor? Choices:
A) 7!/7^7  B) 7^7/7!  C) 7/7!  D) 7/7^7  E) 1/7^7
Each person out of 7 has 7 options, hence total # of outcomes is 7^7;   Favorable outcomes will be 7!, which is # of ways to assign 7 different buttons to 7 people   So basically # of arrangements of 7 distinct objects: 7!.   P=favorable/total=7!/7^7   7!/7^7nswer: 7!/7^7.
<result>A</result>
Seven people are on an elevator that stops at exactly 7 floors. What is the probability that exactly one person will push the button for each floor?