Perm Comb
1. The problem is to understand whether a given selection or arrangement is a permutation or a combination.
2. Permutations refer to arrangements where order matters. For example, arranging books on a shelf.
3. Combinations refer to selections where order does not matter. For example, selecting members for a team.
4. To decide, ask: Does changing the order create a different outcome?
- If yes, it's a permutation.
- If no, it's a combination.
5. Example: Choosing 3 students out of 5 to form a team is a combination.
6. Example: Arranging 3 students out of 5 to sit in a row is a permutation.
Final answer: Use the above criteria to classify selection types as permutation or combination.