binomial coefficient
family of positive integers that occur as coefficients in the binomial theorem
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binomial coefficient
Summary
binomial coefficient is an integer-valued function[1]. It draws 1,017 Wikipedia views per month (integer_valued_function category, ranking #2 of 7).[2]
Key Facts
- binomial coefficient's instance of is recorded as integer-valued function[3].
- binomial coefficient is a type of non-negative integer[4].
- binomial coefficient is part of Pascal's triangle[5].
- binomial coefficient is part of binomial theorem[6].
- binomial coefficient's Commons category is recorded as Binomial coefficients[7].
- binomial coefficient's said to be the same as is recorded as number of combinations without repetition[8].
- binomial coefficient's facet of is recorded as combination[9].
- binomial coefficient's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[10].
- binomial coefficient's described by source is recorded as Encyclopedic Lexicon[11].
- binomial coefficient's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[12].
- binomial coefficient's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[13].
- binomial coefficient's described by source is recorded as Q140169500[14].
- binomial coefficient's different from is recorded as binomial number[15].
- binomial coefficient's TeX string is recorded as \binom{n}{k}[16].
- binomial coefficient's TeX string is recorded as {n \choose k}[17].
- binomial coefficient's studied by is recorded as Q114701977[18].
- binomial coefficient's maintained by WikiProject is recorded as WikiProject Mathematics[19].
- binomial coefficient's counts is recorded as combination[20].
Body
Definition and Type
binomial coefficient's instance of is recorded as integer-valued function[3]. It is a type of non-negative integer[4].
Use and Application
Part of include Pascal's triangle[5], a triangular array[21] and binomial theorem[6], a theorem[22].
Why It Matters
binomial coefficient draws 1,017 Wikipedia views per month (integer_valued_function category, ranking #2 of 7).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[23] It is known by 67 alternative names across languages and contexts.[24]