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counting and probability junior
Problem
Three students, with different names, line up single file. What is the probability that they are in alphabetical order from front-to-back?
(A)
(B)
(C)
(D)
Solution
There are ways to pick the first student, ways to pick the second student, and way to pick the last student, for a total of ways to line the students up. Only of those ways is alphabetical. Thus, the probability is or
Final answer
C