Category:Definitions/Binomial Coefficients
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This category contains definitions related to Binomial Coefficients.
Related results can be found in Category:Binomial Coefficients.
Let $n \in \Z_{\ge 0}$ and $k \in \Z$.
Then the binomial coefficient $\dbinom n k$ is defined as:
- $\dbinom n k = \begin {cases} \dfrac {n!} {k! \paren {n - k}!} & : 0 \le k \le n \\ & \\ 0 & : \text { otherwise } \end{cases}$
where $n!$ denotes the factorial of $n$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
F
P
- Definitions/Pascal's Triangle (13 P)
Pages in category "Definitions/Binomial Coefficients"
The following 21 pages are in this category, out of 21 total.
B
- Definition:Binomial Coefficient
- Definition:Binomial Coefficient/Complex Numbers
- Definition:Binomial Coefficient/Historical Note
- Definition:Binomial Coefficient/Integers/Definition 1
- Definition:Binomial Coefficient/Integers/Definition 2
- Definition:Binomial Coefficient/Integers/Definition 3
- Definition:Binomial Coefficient/Multiindices
- Definition:Binomial Coefficient/Notation
- Definition:Binomial Coefficient/Real Numbers
- Definition:Binomial Coefficient/Technical Note
- Definition:Binomial Expansion
- Definition:Binomial Series