Problem:
A magazine printed photos of three celebrities along with three photos of the celebrities as babies. The baby pictures did not identify the celebrities. Readers were asked to match each celebrity with the correct baby picture. What is the probability that a reader guessing at random will match all three correctly?
Answer Choices:
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E.
Solution:
Call the celebrities , and . There are six possible orderings: , and . Only one of these identifies all three correctly. Therefore the probability is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions