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Omni-MATH / Determine the number of ways to select a sequence of 8 sets A₁,A₂,…,A₈, such that each is a subset (possibly empty) of …A_(m) contains A_(n) if m divides n.

Problem

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problem

Determine the number of ways to select a sequence of 8 sets A1,A2,…,A8A_{1}, A_{2}, \ldots, A_{8}, such that each is a subset (possibly empty) of \{1,2\}, and AmA_{m} contains AnA_{n} if mm divides nn.
Plain-text mathematical notation (without MathML)
Determine the number of ways to select a sequence of 8 sets A₁,A₂,…,A₈, such that each is a subset (possibly empty) of \{1,2\}, and A_(m) contains A_(n) if m divides n.
Original LaTeX notation
Determine the number of ways to select a sequence of 8 sets $A_{1}, A_{2}, \ldots, A_{8}$, such that each is a subset (possibly empty) of \{1,2\}, and $A_{m}$ contains $A_{n}$ if $m$ divides $n$.

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Source and history

task_id
24f54288-42fe-568c-8e7b-be30d354ccdf
task_key
test--24f54288-42fe-568c-8e7b-be30d354ccdf
task_revision_id
1
config / split
/ test

Official source

initial import