File:Pascal's_triangle_5.svg · Wikimedia Commons · See Wikimedia Commons
binomial coefficient
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family of positive integers that occur as coefficients in the binomial theorem
Wikidata facts
- Part of
- binomial theorem
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- facet of
- combination
- Commons category
- Binomial coefficients
- TeX string
- {n \choose k}
- maintained by WikiProject
- WikiProject Mathematics
- counts
- combination
- different from
- binomial number
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Encyclopedic overview
The binomial coefficients can be arranged to form Pascal's triangle, in which each entry is the sum of the two immediately above. Visualisation of binomial expansion up to the 4th power
In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written
Excerpted from Wikipedia’s “binomial coefficient” article, available under the CC BY-SA 4.0 licence.