Question

select the correct answer from each drop - down menu. determine whether each situation describes a permutation or a combination. situation | permutation or combination? the junior class elects 3 representatives to the student council. | drop - down the swim team must choose a captain and co - captain. | drop - down a sandwich made with 3 of the 25 available toppings. | drop - down a locker has a 5 - digit code that must be entered to open it. | drop - down with options permutation, combination

Explanation:

• For electing 3 representatives, the order of selection does not matter (all representatives have the same role), so this is a combination.
• Choosing a captain and co-captain involves distinct roles, so the order of selection matters (person A as captain vs person B as captain is different), making this a permutation.
• When selecting sandwich toppings, the order of adding toppings does not change the final sandwich, so this is a combination.
• A locker code requires a specific sequence of digits (12345 is different from 54321), so the order matters, making this a permutation.

Answer:

1. The Junior class elects 3 representatives to the student council.: Combination
2. The swim team must choose a captain and co-captain.: Permutation
3. A sandwich made with 3 of the 25 available toppings.: Combination
4. A locker has a 5-digit code that must be entered to open it.: Permutation