This topic covers probability calculations involving the arrangements of three-letter combinations where one letter repeats. It focuses on expressing the number of distinct orderings of the letters as multiplication problems, incorporating factorial concepts commonly used in permutations and combinations. This set of problems is designed to introduce and develop understanding of factorials and their application in basic probability scenarios for repeated items. The exercises require recognizing the total number of permutations and adjusting for repeated elements by factorial division to avoid over-counting identical arrangements.
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How many distinct ways can these letter tiles be ordered? Show as a multiplication.