How to find all possible combination of a digits between first and last digits?

I have points as 1, 2, 3, 4, 5. The point 1 is the first point, and 5 the last point.

I need to find all possible combination of the possible points between 1 and 5.

I need a result like this:

1 5

1 2 5

1 3 5

1 4 5

1 2 3 5

1 3 2 5

1 2 4 5

1 4 2 5

1 3 4 5

1 4 3 5

1 2 3 4 5

1 3 2 4 5

Ect.

Could anyone help me? Thank you!

Answer 1

[Image Analyst]

Use the perms() function. It sounds a lot like homework. Is it? So here is part of it, the part with all the indexes in there:

m = 1 : 5
indexes = perms([2:4])
m2 = zeros(size(indexes, 1), size(m, 2)) % Initialize output.
for k = 1 : length(indexes)
  m2(k,:) = [m(1), m(indexes(k,:)), m(end)];
end
m2 % Print output to command window.

See if you can add the rest to do it for lesser number of indexes.