Permutations and Combinations

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•
Mathematics
•
7th Grade
•
Hard
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15 questions
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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 many ways can you arrange 3 books on a shelf?
Back
6 ways (3! = 3 × 2 × 1 = 6).
4.
FLASHCARD QUESTION
Front
If you have 5 different shirts and 4 different pants, how many outfits can you create?
Back
20 outfits (5 shirts × 4 pants = 20).
5.
FLASHCARD QUESTION
Front
What is the formula for permutations of n objects taken r at a time?
Back
The formula is P(n, r) = n! / (n - r)!.
6.
FLASHCARD QUESTION
Front
What is the formula for combinations of n objects taken r at a time?
Back
The formula is C(n, r) = n! / [r!(n - r)!].
7.
FLASHCARD QUESTION
Front
How many different ways can you choose 2 fruits from a basket of 5?
Back
10 ways (C(5, 2) = 5! / [2!(5 - 2)!] = 10).
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