Six people are on an elevator that stops at exactly 6 floors. What is the probability that exactly one person will push the button for each floor?  Answers:
A) 6!/6^6	B) 6^6/6!	C) 6/6!	D) 6/6^6	E) 1/6^6
Each person out of 6 has 6 options, hence total # of outcomes is 6^6;   Favorable outcomes will be 6!, which is # of ways to assign 6 different buttons to 6 people:   1-2-3-4-5-6 (floors)   A-B-C-D-E-F (persons)   B-A-C-D-E-F (persons)   B-C-A-D-E-F (persons)   ...   So basically # of arrangements of 6 distinct objects: 6!.   P=favorable/total=6!/6^6   6!/6^6nswer: 6!/6^6.
<result>A</result>
Six people are on an elevator that stops at exactly 6 floors. What is the probability that exactly one person will push the button for each floor?