Combinations
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a combination?
Back
A combination is a selection of items from a larger set where the order does not matter.
2.
FLASHCARD QUESTION
Front
How do you calculate combinations?
Back
The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.
3.
FLASHCARD QUESTION
Front
What is the difference between permutations and combinations?
Back
Permutations consider the order of selection, while combinations do not.
4.
FLASHCARD QUESTION
Front
If you have 5 colors and want to choose 2, how many combinations can you make?
Back
C(5, 2) = 5! / (2!(5 - 2)!) = 10 combinations.
5.
FLASHCARD QUESTION
Front
What is the factorial of a number?
Back
The factorial of a number n (denoted as n!) is the product of all positive integers up to n.
6.
FLASHCARD QUESTION
Front
How many ways can you choose 3 students from a class of 10?
Back
C(10, 3) = 10! / (3!(10 - 3)!) = 120 ways.
7.
FLASHCARD QUESTION
Front
What is the combination of choosing all items from a set?
Back
Choosing all items from a set of n items is always 1 combination (C(n, n) = 1).
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