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Omni-MATH / Determine the number of subsets S of {1,2,3,…,10} with the following property: there exist integers a<b<c with a in S, b notin S, c in S.

Problem

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problem

Determine the number of subsets SS of {1,2,3,…,10}\{1,2,3, \ldots, 10\} with the following property: there exist integers a<b<ca<b<c with $a \in S, b \notin S, c \in S$.
Plain-text mathematical notation (without MathML)
Determine the number of subsets S of {1,2,3,…,10} with the following property: there exist integers a<b<c with $a \in S, b \notin S, c \in S$.
Original LaTeX notation
Determine the number of subsets $S$ of $\{1,2,3, \ldots, 10\}$ with the following property: there exist integers $a<b<c$ with $a \in S, b \notin S, c \in S$.

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Source and history

task_id
248dc239-8f0a-5c74-bdf5-ea4ccc1f9ac6
task_key
test--248dc239-8f0a-5c74-bdf5-ea4ccc1f9ac6
task_revision_id
1
config / split
/ test

Official source

initial import