What this combinatorics puzzle tests
This is an easy puzzle that appears frequently in quant and finance interviews as a warm-up or filter question. It tests whether you can quickly translate a real-world scenario into a counting problem and apply basic combinatorial reasoning without over-complicating it.
The key skill is recognizing that you're counting pairs of distinct objects from a fixed set, and avoiding the common trap of double-counting. Interviewers value clean, confident reasoning here—a clear explanation of why your formula works matters more than speed.
- Combinations and the binomial coefficient
- Symmetry and avoiding double-counting
- Translating word problems into mathematical notation