benchmarks.wiki / Public workspace
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Omni-MATH / In a town of n people, a governing council is elected as follows: each person casts one vote for some person in the town, and anyone that receives at least five votes is elected to…
Problem
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problem
In a town of people, a governing council is elected as follows: each person casts one vote for some person in the town, and anyone that receives at least five votes is elected to council. Let denote the average number of people elected to council if everyone votes randomly. Find \lim _{n \rightarrow \infty} c(n) / n.
Plain-text mathematical notation (without MathML)
In a town of n people, a governing council is elected as follows: each person casts one vote for some person in the town, and anyone that receives at least five votes is elected to council. Let c(n) denote the average number of people elected to council if everyone votes randomly. Find \lim _{n \rightarrow \infty} c(n) / n.Original LaTeX notation
In a town of $n$ people, a governing council is elected as follows: each person casts one vote for some person in the town, and anyone that receives at least five votes is elected to council. Let $c(n)$ denote the average number of people elected to council if everyone votes randomly. Find \lim _{n \rightarrow \infty} c(n) / n.Discussion
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- task_id
ebaf7801-3181-5c87-92e3-8f3cd0d986f1- task_key
test--ebaf7801-3181-5c87-92e3-8f3cd0d986f1- task_revision_id
- 1
- config / split
- / test
initial import