如何在 MATLAB 中找到所有排列(带重复)? [英] How to find all permutations (with repetition) in MATLAB?

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问题描述

假设我有 4 个字母并且我想将它们排列在 3 个位置(允许重复),那么我将有 43=64 个可能的排列.我如何计算和打印它们?

Suppose I have 4 letters and I want to arrange them in 3 places (repetition allowed), so I would have 43=64 possible permutations. How can I compute and print them?

推荐答案

Simplifying Amro 的回答,你可以使用这个:

Simplifying Amro's answer, you could use this:

%// Sample data
x = 'ABCD';                 %// Set of possible letters
K = 3;                      %// Length of each permutation

%// Create all possible permutations (with repetition) of letters stored in x
C = cell(K, 1);             %// Preallocate a cell array
[C{:}] = ndgrid(x);         %// Create K grids of values
y = cellfun(@(x){x(:)}, C); %// Convert grids to column vectors
y = [y{:}];                 %// Obtain all permutations

Matrix y 应该存储你想要的排列.

Matrix y should store the permutations you're after.

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