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Combinations vs. Permutations Explained
Instructions: Respond to the following questions in a word document and upload. Show your work or explain in detail how you arrived at your answers.,
- Describe the difference between combinations and permutations in your own words. When should you use one instead of the other?
- Decide whether each selection described is a combination or permutation: ,APA.
a) When shopping for a new truck, you research 8 different models online and select 3 to test drive.
b) A school board elects a president and vice-president from 12 members.,
c) Nine fans at a soccer game are chosen to meet the team after the game.
Combinations vs. Permutations Explained
d) The class of 120 seniors at Washington High select 2 class representatives.
e) A coach chooses a pitcher and 4 infielders from a roster of 25 players.
3. A city council consists of 10 members. Four are Republicans, three are Democrats, and three are Independents. If a committee of three is to be selected, find the probability of selecting: (write your answer as a reduced fraction)
Combinations vs. Permutations Explained
Combinations and permutations are both concepts in mathematics that deal with selecting items from a larger set. However, the key difference lies in whether the order of selection matters.
Combinations
- Definition: A combination is a selection of items where the order does not matter. This means that the group of items is the same regardless of how they are arranged.
- When to Use: Use combinations when you want to find out how many ways you can select a group from a larger set without regard to the order of selection. For example, selecting team members from a group where the arrangement does not matter.
Permutations
- Definition: A permutation is a selection of items where the order does matter. This means that different arrangements of the same items count as different permutations.
