Question

2 matching 15 points directions: determine whether each is an example of a permutation or a combination. the number of ways a president, vice - president, and treasurer could be chosen from a group of 20. the number of ways you could award 1st, 2nd, and 3rd place medals for the science fair. the number of ways a committee of 3 could be chosen from a group of 20. the number of ways you can choose a group of 3 puppies to adopt from the animal shelter when there are 20 different puppies to choose from. the number of seven - digit phone numbers that can be made using the digits 0 - 9

Explanation:

Step1: Recall Permutation vs Combination

Permutation: Order matters (different arrangements count as different). Combination: Order does not matter (groupings where order is irrelevant).

Step2: Analyze Each Scenario

1. President, VP, Treasurer (20 people):

Order matters (president ≠ VP ≠ treasurer). So permutation.

1. 1st, 2nd, 3rd medals:

Order matters (1st ≠ 2nd ≠ 3rd). Permutation.

1. Committee of 3 (20 people):

Order does not matter (committee members are a group, no hierarchy). Combination.

1. Choose 3 puppies:

Order does not matter (group of puppies, no order). Combination.

1. Seven - digit phone numbers (0 - 9):

Order matters (different digit order = different number). Permutation (with repetition, since digits can repeat).

Answer:

s (for each scenario):

1. Permutation
2. Permutation
3. Combination
4. Combination
5. Permutation (with repetition)