What is a combination?
Review on Combinations, Sequences, Series

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
A selection of items from a larger set where the order does not matter.
2.
FLASHCARD QUESTION
Front
What is the formula for combinations?
Back
The formula for combinations is \( \frac{n!}{(n-r)! r!} \) where \( n \) is the total number of items and \( r \) is the number of items to choose.
3.
FLASHCARD QUESTION
Front
What does \( \binom{10}{5} \) mean?
Back
It represents the number of ways to choose 5 items from a set of 10 items.
4.
FLASHCARD QUESTION
Front
What is a sequence?
Back
An ordered list of numbers that follow a particular pattern or rule.
5.
FLASHCARD QUESTION
Front
What is a series?
Back
The sum of the terms of a sequence.
6.
FLASHCARD QUESTION
Front
What is the difference between a sequence and a series?
Back
A sequence is a list of numbers, while a series is the sum of those numbers.
7.
FLASHCARD QUESTION
Front
What is the formula for the sum of the first \( n \) terms of an arithmetic series?
Back
The formula is \( S_n = \frac{n}{2} (a + l) \) where \( a \) is the first term, \( l \) is the last term, and \( n \) is the number of terms.
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