binomial coefficient

American  

noun

Mathematics.

1. any one of the coefficients of the variables in an expanded binomial series.

---

binomial coefficient British  

noun

1. maths any of the numerical factors which multiply the successive terms in a binomial expansion; any term of the form n !/( n–k )! k !: written ( nk ), nCk , or Cnk See also combination

---

Etymology

Origin of binomial coefficient

First recorded in 1885–90

Example Sentences

The Binomial Theorem uses the same pattern for the variables, but uses the binomial coefficient for the coefficient of each term.

From Textbooks • May 6, 2020

We can see now why the combinatorial formula is also called the binomial coefficient because it reappears here again in the binomial probability function.

From Textbooks • Nov. 29, 2017

What is a binomial coefficient, and how it is calculated?

From Textbooks • Feb. 13, 2015

Q&A Is a binomial coefficient always a whole number?

From Textbooks • Feb. 13, 2015

Just as the number of combinations must always be a whole number, a binomial coefficient will always be a whole number.

From Textbooks • Feb. 13, 2015