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MATH / Suppose that *(n) = left{ n-2, n+2, 2n, frac{n}{2} right}. For example, *(6) = {4, 8, 12, 3}. For how many distinct integers n does *(n) have exactly three distinct elements?

Problem

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problem

Suppose that $*(n) = \left\{ n-2, n+2, 2n, \frac{n}{2} \right\}$. For example, $*(6) = \{4, 8, 12, 3\}$. For how many distinct integers nn does $*(n)$ have exactly three distinct elements?
Plain-text mathematical notation (without MathML)
Suppose that $*(n) = \left\{ n-2, n+2, 2n, \frac{n}{2} \right\}$. For example, $*(6) = \{4, 8, 12, 3\}$. For how many distinct integers n does $*(n)$ have exactly three distinct elements?
Original LaTeX notation
Suppose that $*(n) = \left\{ n-2, n+2, 2n, \frac{n}{2} \right\}$. For example, $*(6) = \{4, 8, 12, 3\}$. For how many distinct integers $n$ does $*(n)$ have exactly three distinct elements?

level

Level 5

type

Counting & Probability

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Source and history

task_id
3c576168-e419-5bb2-9ae2-673ae296fd30
task_key
counting~5fand~5fprobability--test--3c576168-e419-5bb2-9ae2-673ae296fd30
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import