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prealgebra intermediate

Problem

Three students, with different names, line up single file. What is the probability that they are in alphabetical order from front-to-back? Express your answer as a common fraction.
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 .
Final answer
\frac{1}{6}