How to find a combination like this

I am wondering is there a way where I could use a matrix in combinatorics such as

nchoosek(4,1:4) where it calcluates 4choose1, 4choose2,... 4choose4 ?

Is thie possible in Matlab?

Answer 1

[Walter Roberson]

N = 4;
temp = factorial(0:N);
temp(end) ./ (temp .* fliplr(temp))

This would be 4C0, 4C1, 4C2, 4C3, 4C4, so you could index into the result to get the subset you need.

[Nooh Hood Mohamed Almahfoodhi]

Thank you that worked.

[Walter Roberson]

temp = cumprod([1 1:N]);

turns out to be faster than factorial(0:N)

Answer 2

[Jos (10584)]

Computationally less efficient, and mathematically less beautiful as Walters' snippet, but more matlab-ish in style:

N = 4 ;
C = arrayfun(@(k) nchoosek(N, k), 0:N)

or after same mathematical adjustments to N! / K!(N-K)!

C2 = arrayfun(@(k) prod(k+1:N)/prod(2:N-k), 0:N)