Creating a matrix of all possible combinations given multiple vectors

As the title says if you are given various vectors with variable length for example:

x1 = [0 1];
x2 = [100 200 300];
x3 = [Inf Inf];
x4 = [1e-2 1e-6 1e-10];
x5 = 4;
x6 = [1 2 3];   

In this case there are 6 inputs giving 108 combinations. Is there a slick way to create a 108x6 matrix without using embedded for loops? I am asking to not use for loops because I would like to dynamically change the amount of inputs without having to hard code the loops. I've been trying but I can't seem to find a solution. Does anyone have some ideas?

Answer 1

[Walter Roberson]

See https://www.mathworks.com/matlabcentral/answers/623358-get-a-combination-of-unique-paths-for-given-pair-of-numbers#comment_1082638 for code for this purpose. It was specifically designed to permit different numbers of enteries in each slot, and to permit non-consecutive entries, and to permit the entries to have different data types.

[Nate F]

Thanks a lot Walter, this does exactly what I need!!!

Answer 2

[KSSV]

REad about perms and nchoosek.