Let's carefully examine each situation to determine if it is described by a permutation or a combination.
1. The Junior class elects 3 representatives to the student council.
- In this case, the order in which representatives are chosen does not matter. We are simply choosing 3 individuals out of a larger group. Thus, this is a Combination.
2. The swim team must choose a captain and co-captain.
- Here, the order does matter because we are differentiating between the roles of captain and co-captain. Choosing person A as the captain and person B as the co-captain is different from choosing person B as the captain and person A as the co-captain. This is a Permutation.
3. A sandwich made with 3 of the 25 available toppings.
- For a sandwich, the order in which toppings are added does not matter; we are only interested in which 3 toppings are used, not the sequence. Thus, this is a Combination.
4. A locker has a 5-digit code that must be entered to open it.
- The order of digits in the code is crucial, as 12345 is different from 54321. Therefore, this situation is described by a Permutation.
Given these evaluations, you should select the following from each drop-down menu:
- For the Junior class representatives: Combination
- For the swim team captain and co-captain: Permutation
- For the sandwich with toppings: Combination
- For the locker code: Permutation
