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Binomial coefficient
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== References == {{refbegin|colwidth=25em}} * {{cite book | first=Robert B. | last=Ash | title=Information Theory | publisher = Dover Publications, Inc. | orig-year = 1965| year = 1990 | isbn = 0-486-66521-6 }} * {{cite book | title = Proofs that Really Count: The Art of Combinatorial Proof | first1 = Arthur T. | last1 = Benjamin | author1-link = Arthur T. Benjamin | first2 = Jennifer J. | last2 = Quinn | author2-link = Jennifer Quinn | publisher = [[Mathematical Association of America]] | series = Dolciani Mathematical Expositions | volume = 27 | year = 2003 | isbn = 978-0-88385-333-7 | title-link = Proofs That Really Count }} * {{cite book | first=Victor | last=Bryant | author-link=Victor Bryant | title=Aspects of combinatorics | publisher= Cambridge University Press | year=1993 | isbn=0-521-41974-3 }} * {{cite book | last1=Flum | first1=JΓΆrg | last2=Grohe | first2=Martin | author2-link=Martin Grohe | title=Parameterized Complexity Theory | year=2006 | publisher=Springer | url=https://www.springer.com/east/home/generic/search/results?SGWID=5-40109-22-141358322-0 | isbn=978-3-540-29952-3 | access-date=2017-08-28 | archive-date=2007-11-18 | archive-url=https://web.archive.org/web/20071118193434/http://www.springer.com/east/home/generic/search/results?SGWID=5-40109-22-141358322-0 | url-status=dead }} * {{Cite journal | doi = 10.2307/2975209 | title = The Binomial Coefficient Function | first = David | last = Fowler | author-link = David Fowler (mathematician) | journal = [[The American Mathematical Monthly]] | volume = 103 |date=January 1996 | pages = 1β17 | issue = 1 | publisher = Mathematical Association of America | jstor = 2975209 }} * {{cite journal |first=P. |last=Goetgheluck |title=Computing Binomial Coefficients |journal=American Mathematical Monthly |volume=94 |issue=4 |year=1987 |pages=360β365 |doi=10.2307/2323099|jstor=2323099 }} * {{cite book |author-last1=Graham |author-first1=Ronald L. |author-link1=Ronald L. Graham |author-last2=Knuth |author-first2=Donald E. |author-link2=Donald E. Knuth |author-last3=Patashnik |author-first3=Oren |author-link3=Oren Patashnik |title=Concrete Mathematics - A foundation for computer science |edition=2nd |publisher=[[Addison-Wesley Professional]] |location=Reading, MA, USA |date=February 1994 |pages=154β155 |isbn=0-201-55802-5 |mr=1397498}} * {{cite book | last1 = Gradshteyn | first1 = I. S. | last2 = Ryzhik | first2 = I. M. | title =Table of Integrals, Series, and Products | title-link = Gradshteyn and Ryzhik | edition = 8th | year = 2014 | publisher = Academic Press | isbn = 978-0-12-384933-5 }} * {{citation | last1=Grinshpan | first1=A. Z. | title=Weighted inequalities and negative binomials | doi=10.1016/j.aam.2010.04.004 | year=2010 | journal=Advances in Applied Mathematics | volume=45 | issue=4 | pages=564β606 | doi-access=free }} * {{cite book |first=Nicholas J. |last=Higham |author-link=Nicholas Higham |title=Handbook of writing for the mathematical sciences |url=https://archive.org/details/handbookofwritin0000high |url-access=registration |publisher=[[Society for Industrial and Applied Mathematics|SIAM]] |isbn=0-89871-420-6 |year=1998 |page=[https://archive.org/details/handbookofwritin0000high/page/25 25] }} * {{cite book | first=Donald E.| last=Knuth | author-link=Donald Knuth | title=The Art of Computer Programming, Volume 1: ''Fundamental Algorithms'' | edition=Third | publisher=Addison-Wesley | year=1997 | isbn= 0-201-89683-4 | pages=52β74 }} * {{cite journal | first=David | last=Singmaster | author-link=David Singmaster | title=Notes on binomial coefficients. III. Any integer divides almost all binomial coefficients | journal=Journal of the London Mathematical Society | volume=8 | issue=3 | year=1974 | pages=555β560 | doi=10.1112/jlms/s2-8.3.555 }} * {{cite book |first=G. E. |last=Shilov |title=Linear algebra |publisher=Dover Publications |year=1977 |isbn=978-0-486-63518-7}} * {{citation |first=James|last=Uspensky|author-link=J. V. Uspensky |title=Introduction to Mathematical Probability |year=1937 |publisher=McGraw-Hill |url=https://archive.org/details/in.ernet.dli.2015.263184/page/n25/mode/2up }} {{refend}}
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