Daily Problem, November 12, 2026: Counting

The problem

A club of 6 people chooses a president, vice president, secretary, treasurer. No one can hold two jobs. How many ways can this be done?

Answer

Ways: 360

Worked solution

  1. The jobs are different, so order matters: this is a permutation.
  2. 6 choices for the first job, 5 for the next, and so on: 6 × 5 × 4 × 3 = 360

How members answered

  • 19tried
  • 37%first try
  • 9solved

Top wrong answers: 4 (2), 2 (2), 6 (2).