Using "nchoosek(n,k)", create a row vector containing all the binomial coefficients for n=4 and display this vector. Repeat for n=10

I have tried applying "v=1:4" & then "A=nchoosek(v,3)" as well as "A=nchoosek(v,4)". However, not to sure what I'm looking for

[James Tursa]

What have you done so far? Please make an attempt and then ask specific questions about where you are having problems with your code. Then we can help you.

[James Tursa]

The instructions say that n=4, and n is the first argument in nchoosek(n,k). So I would expect that you would be using nchoosek(4,k). Then it is just a matter of what k values to use, and how to form everything into a row vector. If n=4, do you know what are all the valid values for k to get the binomial coefficients? And do you know how to form a row vector out of a bunch of numbers?

Answer 1

[Arvind Narayanan]

According to the binomial theorem, the coefficient of every term of a polynomial (x+y)^n can be represented as

nCk*x^(n-k)*y^k

Now, I understand you want to make a row vector with the coefficients of the polynomial for n=4 and n=10 respectively. You can use something like this:

A=[];
n=4;
% n=10;
for i=0:1:n
    A=[A,nchoosek(n,i)];
end

Refer this: Binomial Theorem

[LAURENCE ALVEY]

GNU OCTAVE has a a function: bincoeffs, which vectorizes nchoosek.