Last Updated :2025/11/22

binomial coefficient

Noun
Japanese Meaning
二項係数:二項定理における項の係数。すなわち、(x + y)ⁿ の展開で各項に現れる係数で、nCk(n個の中からk個を選ぶ組み合わせ数)として定義される。
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二項係数は、(x + y)^n の展開における項の係数(n 個から k 個を選ぶ組合せ nCk = n!/(k!(n−k)!) と定義される)として、組合せやパスカルの三角形に関する組合せ論の問題によく現れます。

plural

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(combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as n choose k

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binomial coefficient

The binomial coefficient appears frequently in combinatorics problems involving combinations and Pascal's triangle.

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The binomial coefficient appears frequently in combinatorics problems involving combinations and Pascal's triangle.

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