- #1
moonman239
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when you have two numbers that look almost like a fraction (except without the line in the middle), surrounded by parentheses?
What is the meaning of two numbers in parentheses without a fraction line?
- Context: High School
- Thread starter moonman239
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SUMMARY
The discussion clarifies that two numbers in parentheses resembling a fraction without a line represent a binomial coefficient, denoted as \(\binom{n}{k}\). This notation is defined mathematically as \(\frac{n!}{k!(n-k)!}\), which calculates the number of ways to choose \(k\) elements from a set of \(n\) elements. Participants expressed gratitude for the explanation, highlighting the utility of understanding binomial coefficients in combinatorial mathematics.
PREREQUISITES- Understanding of factorial notation (n!)
- Basic knowledge of combinatorial mathematics
- Familiarity with binomial coefficients
- Ability to interpret mathematical notation
- Research the applications of binomial coefficients in probability theory
- Learn about Pascal's Triangle and its relation to binomial coefficients
- Explore combinatorial identities involving binomial coefficients
- Study the use of binomial coefficients in statistical distributions
Mathematicians, students studying combinatorics, educators teaching probability, and anyone interested in advanced mathematical concepts.
- #2
LCKurtz
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moonman239 said:
You may be describing a binomial coefficient:
\binom n k = \frac {n!}{k!(n-k)!}
- #3
phyzmatix
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Damnit! I was too slow (took me a while to remember the English)! 
Anyway...here it is Binomial Coefficient
Anyway...here it is Binomial Coefficient
- #4
moonman239
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Resolved, thanks y'all.
- #5
The Chaz
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http://tinyurl.com/28wrmwlphyzmatix said:... I was too slow (took me a while to remember the English)!
Anyway...here it is Binomial Coefficient
- #6
phyzmatix
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The Chaz said:
Legend! Didn't know about this. Thanks!
- #7
The Chaz
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phyzmatix said:
It's on my bookmarks toolbar!
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