Compute \(C(5, 2)\) and check your answer by enumeration.

\[\binom{5}{2} = \frac{5 \cdot 4}{2!} = 10\]

The combinations are:

1. \(\{1,2\}\)
2. \(\{1,3\}\)
3. \(\{1,4\}\)
4. \(\{1,5\}\)
5. \(\{2,3\}\)
6. \(\{2,4\}\)
7. \(\{2,5\}\)
8. \(\{3,4\}\)
9. \(\{3,5\}\)
10. \(\{4,5\}\)