Problem:
Three students, with different names, line up single file. What is the probability that they are in alphabetical order from front-to-back?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
There are six ways to line up: , , , , , , and only one of these is in alphabetical order front-to-back. The probability is one in six or .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions