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Omni-MATH / How many different numbers are obtainable from five 5s by first concatenating…

Problem

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problem

How many different numbers are obtainable from five 5s by first concatenating some of the 5s, then multiplying them together? For example, we could do 5⋅55⋅55,555⋅555 \cdot 55 \cdot 55,555 \cdot 55, or 55555, but not 5⋅55 \cdot 5 or 2525.
Plain-text mathematical notation (without MathML)
How many different numbers are obtainable from five 5s by first concatenating some of the 5s, then multiplying them together? For example, we could do 5⋅55⋅55,555⋅55, or 55555, but not 5⋅5 or 2525.
Original LaTeX notation
How many different numbers are obtainable from five 5s by first concatenating some of the 5s, then multiplying them together? For example, we could do $5 \cdot 55 \cdot 55,555 \cdot 55$, or 55555, but not $5 \cdot 5$ or 2525.

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Source and history

task_id
d4ecf139-091a-5185-99cc-755f957ab193
task_key
test--d4ecf139-091a-5185-99cc-755f957ab193
task_revision_id
1
config / split
/ test

Official source

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