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jmc

counting and probability junior

Problem

The letters and are used to form every possible three letter ``word.'' When these ``words'' are arranged in alphabetical order and numbered so that is Word 1 and is Word 27, what number will correspond to the position of word on the list?
Solution
There are 9 possible words that start with A to begin the list, so the first word starting with B, BAA, is the 10th word. BAB is the next word after BAA, or word number .
Final answer
11