# binomial coefficient

binomial coefficient
the number of different sets of size k> that can be chosen from a set of n> objects; denoted

Medical dictionary. 2011.

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• binomial coefficient — n. Math. 1. the coefficient of any term in the expansion of (x + a) n 2. the number of combinations of a specified size that can be drawn from a given set …   English World dictionary

• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia

• binomial coefficient — noun : the coefficient of any term resulting from the expansion of the binomial (x+y)n * * * Math. any one of the coefficients of the variables in an expanded binomial series. Cf. binomial theorem. [1885 90] …   Useful english dictionary

• binomial coefficient — noun Date: 1876 a coefficient of a term in the expansion of the binomial (x + y)n according to the binomial theorem …   New Collegiate Dictionary

• binomial coefficient — noun A coefficient of any of the terms in the expansion of the binomial (x+y) …   Wiktionary

• binomial coefficient — Math. any one of the coefficients of the variables in an expanded binomial series. Cf. binomial theorem. [1885 90] * * * …   Universalium

• Central binomial coefficient — In mathematics the n th central binomial coefficient is defined in terms of the binomial coefficient by: {2n choose n} = frac{(2n)!}{(n!)^2}.They are called central since they show up exactly in the middle of the even numbered rows in Pascal s… …   Wikipedia

• binomial — binomial, iale, iaux [ binɔmjal, jo ] adj. • mil. XVe; de binôme ♦ Math. Relatif au binôme. Coefficient binomial : coefficient de la formule du binôme de Newton. Loi binomiale : loi de statistique d un phénomène à deux événements complémentaires… …   Encyclopédie Universelle

• Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …   Wikipedia

• Binomial series — In mathematics, the binomial series is the Taylor series at x = 0 of the function f given by f(x) = (1 + x) α, where α ∈ C is an arbitrary complex number. Explicitly, and the binomial series is the power series… …   Wikipedia