Let \(k\) be the number of composite integers \(n\) that satisfy the condition that \(n\) is a factor of \(\dbinom{n}{r}\) for all \(r\in \{ 1, 2, 3, \ldots, n-1\}.\) Which one of the following statements is always true for \(k\)? Prove that your answer is right.

**Note**: An integer number is called composite if it is greater than 1 and has at least a factor that is different from 1 and from itself.

×

Problem Loading...

Note Loading...

Set Loading...