Unit 11 - Permutations and Combinations

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a permutation?
Back
A permutation is an arrangement of objects in a specific order. The order matters in permutations.
2.
FLASHCARD QUESTION
Front
What is a combination?
Back
A combination is a selection of objects where the order does not matter. It focuses on the group rather than the arrangement.
3.
FLASHCARD QUESTION
Front
How do you calculate the number of permutations of n objects taken r at a time?
Back
The formula is P(n, r) = n! / (n - r)!, where n is the total number of objects and r is the number of objects to arrange.
4.
FLASHCARD QUESTION
Front
How do you calculate the number of combinations of n objects taken r at a time?
Back
The formula is C(n, r) = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects to choose.
5.
FLASHCARD QUESTION
Front
If you have 3 shirts and 2 pairs of pants, how many outfits can you create?
Back
You can create 3 shirts * 2 pants = 6 different outfits.
6.
FLASHCARD QUESTION
Front
In how many ways can you arrange 5 books on a shelf?
Back
You can arrange 5 books in 5! = 120 ways.
7.
FLASHCARD QUESTION
Front
What is the difference between permutations and combinations?
Back
Permutations consider the order of selection, while combinations do not.
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