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11 Binomials and Multinomials

 11.1 The Multinomial Package
 11.2 Binomial Coefficients
 11.3 Multinomial Coefficients

This file implements a package that computes binomial and multinomial coefficients of integer numbers. It is tested in the file test/multinom.as.nw.

365⟨* 13⟩+≡   ⊲307  384 ⊳
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----
---- Combinat
---- Copyright (C) Ralf Hemmecke <ralf@hemmecke.de>
---- svn co svn://svn.risc.uni-linz.ac.at/hemmecke/combinat/
----
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#include "combinat"
macro exquo(x, y) == x quo y;
⟨pkg: MultinomialTools 367⟩

Defines:
exquo, used in chunks 372, 373, 669, and 670.
ToDo ⊲ 61 ⊳ We would like the faster algorithm to compute the exact quotient of integers since we know that the division leave no remainder, see [Jeb93]. Unfortunately, AldorInteger does not provide that function.

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