Classify each as either a permutation or combination, then calculate the number of ways the scenario could happen. 1) choosing 2 movies to rent from 15 movie options v ways 2) the 1st, 2nd, and 3rd place finishers in a race with 10 contestants ways 3) planning the order of presentations for 8 people in class v ways 4) electing 4 candidates to a planning committee from a pool of 7 options ways
Classify each as either a permutation or combination, then calculate the number of ways the scenario could happen. 1) choosing 2 movies to rent from 15 movie options v ways 2) the 1st, 2nd, and 3rd place finishers in a race with 10 contestants ways 3) planning the order of presentations for 8 people in class v ways 4) electing 4 candidates to a planning committee from a pool of 7 options ways
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...
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![**Permutations and Combinations Exercise**
Classify each scenario as either a permutation or combination, then calculate the number of ways the scenario could happen.
1) Choosing 2 movies to rent from 15 movie options
- [Dropdown] [Dropdown] ways
2) Determining the 1st, 2nd, and 3rd place finishers in a race with 10 contestants
- [Dropdown] [Dropdown] ways
3) Planning the order of presentations for 8 people in class
- [Dropdown] [Dropdown] ways
4) Electing 4 candidates to a planning committee from a pool of 7 options
- [Dropdown] [Dropdown] ways
**Guidance:**
- Use permutations when the order matters.
- Use combinations when the order does not matter.
For each scenario, choose whether it's a permutation or combination and then calculate the total number of possible outcomes. Use dropdown options to select your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf2dae27-5d56-4b65-958d-fb9ae713adae%2Ff1d8434a-284f-47f6-a0d8-92cdaf691baf%2F2quaffd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Permutations and Combinations Exercise**
Classify each scenario as either a permutation or combination, then calculate the number of ways the scenario could happen.
1) Choosing 2 movies to rent from 15 movie options
- [Dropdown] [Dropdown] ways
2) Determining the 1st, 2nd, and 3rd place finishers in a race with 10 contestants
- [Dropdown] [Dropdown] ways
3) Planning the order of presentations for 8 people in class
- [Dropdown] [Dropdown] ways
4) Electing 4 candidates to a planning committee from a pool of 7 options
- [Dropdown] [Dropdown] ways
**Guidance:**
- Use permutations when the order matters.
- Use combinations when the order does not matter.
For each scenario, choose whether it's a permutation or combination and then calculate the total number of possible outcomes. Use dropdown options to select your answers.
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