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MATH / The letters A,B and C are used to form every possible three letter ``word.'' When these ``words'' are arranged in alphabetical order and numbered so that AAA is Word 1 and CCC is W…

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problem

The letters A,BA, B and CC are used to form every possible three letter ``word.'' When these ``words'' are arranged in alphabetical order and numbered so that AAAAAA is Word 1 and CCCCCC is Word 27, what number will correspond to the position of word BABBAB on the list?
Plain-text mathematical notation (without MathML)
The letters A,B and C are used to form every possible three letter ``word.'' When these ``words'' are arranged in alphabetical order and numbered so that AAA is Word 1 and CCC is Word 27, what number will correspond to the position of word BAB on the list?
Original LaTeX notation
The letters $A, B$ and $C$ are used to form every possible three letter ``word.'' When these ``words'' are arranged in alphabetical order and numbered so that $AAA$ is Word 1 and $CCC$ is Word 27, what number will correspond to the position of word $BAB$ on the list?

level

Level 2

type

Counting & Probability

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Source and history

task_id
d3bb0122-44e9-5d4f-ad72-6b015b27f4b4
task_key
counting~5fand~5fprobability--test--d3bb0122-44e9-5d4f-ad72-6b015b27f4b4
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import