# v_choosrnk

## PURPOSE

V_CHOOSRNK All choices of K elements taken from 1:N with replacement. [X]=(N,K)

## SYNOPSIS

function x=v_choosrnk(n,k)

## DESCRIPTION

    V_CHOOSRNK All choices of K elements taken from 1:N with replacement. [X]=(N,K)
     The output X is a matrix of size ((N+K-1)!/(K!*(N-1)!),K) where each row
     contains a choice of K elements taken from 1:N with duplications allowed.
     The rows of X are in lexically sorted order.

     To choose from the elements of an arbitrary vector V use
     V(CHOOSRNK(LENGTH(V),K)).

## CROSS-REFERENCE INFORMATION

This function calls:

- v_choosenk V_CHOOSENK All choices of K elements taken from 1:N [X]=(N,K)

This function is called by:

## SOURCE CODE

    0001 function x=v_choosrnk(n,k)
    0002 %V_CHOOSRNK All choices of K elements taken from 1:N with replacement. [X]=(N,K)
    0003 % The output X is a matrix of size ((N+K-1)!/(K!*(N-1)!),K) where each row
    0004 % contains a choice of K elements taken from 1:N with duplications allowed.
    0005 % The rows of X are in lexically sorted order.
    0006 %
    0007 % To choose from the elements of an arbitrary vector V use
    0008 % V(CHOOSRNK(LENGTH(V),K)).
    0009
    0010 %   Copyright (c) 1998 Mike Brookes,  mike.brookes@ic.ac.uk
    0011 %      Version: $Id: v_choosrnk.m 10865 2018-09-21 17:22:45Z dmb $
    0012 %
    0013 %   VOICEBOX is a MATLAB toolbox for speech processing.
    0014 %   Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
    0015 %
    0016 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    0017 %   This program is free software; you can redistribute it and/or modify
    0018 %   it under the terms of the GNU Lesser General Public License as published by
    0019 %   the Free Software Foundation; either version 3 of the License, or
    0020 %   (at your option) any later version.
    0021 %
    0022 %   This program is distributed in the hope that it will be useful,
    0023 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
    0024 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    0025 %   GNU Lesser General Public License for more details.
    0026 %
    0027 %   You can obtain a copy of the GNU Lesser General Public License from
    0028 %   https://www.gnu.org/licenses/ .
    0029 %
    0030 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    0031 x=v_choosenk(n+k-1,k);
    0032 x=x-repmat(0:k-1,size(x,1),1);