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
- The jobs are different, so order matters: this is a permutation.
- 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).