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?
There are 8 integers n.
+295 
