binomial coefficient

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binomial coefficient [bī′nō·mē·əl kō·ə′fish·ənt]

(mathematics)

A coefficient in the expansion of (x + y)ⁿ, wherenis a positive integer; the (k + 1)st coefficient is equal to the number of ways of choosingkobjects out ofnwithout regard for order. Symbolized (ⁿ_k);_nC_k;C(n,k);Cⁿ_k.

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No references found			For the sake of completeness we give, without proof, two particular theorems in regard to single binomial coefficients and their integral representations. Some properties of reciprocals of double binomial coefficients by Sofo, A. / Tamsui Oxford Journal of Mathematical Sciences Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients. Math's Syllabus for IIT JEE by Vanya Tiwari / Science and technology, general community This paper makes use of the recently introduced technique of [gamma]-operators to evaluate the Hankel determinant with binomial coefficient entries [a. Evaluation of a special Hankel determinant of binomial coefficients by Egecioglu, Omer; Redmond, Timothy; Ryavec, Charles / DMTCS Proceedings			Bingol Dag Bingöl Dag Binh Dinh BinHex Binhex 4.0 Bini binistor binit Binkis, Kazis binnacle Binney, Horace Binnig, Gerd Binns, Charles Fergus Binns, John Alexander Binnui binocular binocular accommodation binocular microscope Binocular Vision Binoculars binode binomen binomial binomial array binomial array antenna binomial coefficient Binomial Differential binomial distribution Binomial Equation binomial expansion binomial law Binomial Nomenclature binomial probability paper binomial random variable binomial series binomial surd Binomial Theorem binomial trials binomial trials model binormal binormal indicatrix BinProlog Binturong binuclear binucleolate binutils Binyon Binz Bío-Bío Bío-Bío River Bio-optics			binocular vision binocular vision binocular vision binocular vision binocular vision single zone of clear Binocular Visual Efficiency binocularity binocularity binocularity binocularly binocularly binocularly binoculars binoculars binoculars Binoculate binode Binomen binomial binomial binomial binomial binomial array binomial array antenna Binomial classification Binomial classification Binomial classification Binomial Classification System Binomial Classification System Binomial Classification System binomial coefficient Binomial coefficients Binomial coefficients binomial differential binomial distribution binomial distribution binomial distribution binomial distribution binomial distribution binomial distribution binomial distributions binomial distributions binomial distributions Binomial Effect Size Display binomial equation Binomial expansion Binomial expansion Binomial expansion theorem Binomial expansion theorem Binomial expansions Binomial expansions binomial experiment Binomial formula Binomial formula binomial law Binomial Model Binomial name Binomial name Binomial name Binomial names Binomial names

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