Combinations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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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
What is a permutation?
Back
A permutation is an arrangement of items from a larger set where the order does matter.
3.
FLASHCARD QUESTION
Front
When would you use combinations instead of permutations?
Back
Use combinations when the order of selection does not matter, such as choosing members for a committee.
4.
FLASHCARD QUESTION
Front
How many combinations can be formed from 4 letters A, B, C, D?
Back
There are 5 combinations of 4 letters from A, B, C, D.
5.
FLASHCARD QUESTION
Front
What is the formula for combinations?
Back
The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.
6.
FLASHCARD QUESTION
Front
What is the formula for permutations?
Back
The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.
7.
FLASHCARD QUESTION
Front
Example of a combination problem: Choose 4 students from a class of 10. How many ways can this be done?
Back
C(10, 4) = 210 ways.
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