Hello, I am trying to figure out how to code this by using loops in MATLAB. If someone has a better idea, please share it.

\( \sum_{i=1}^n A_i + 3\sum_{i \neq j}^n B_iC_j

+ 6\sum_{i>j>k}^n D_iE_jF_k \)

It looks like the number of terms in the expression above is given by:

\( {n \choose 1} + 3\times 2 \times {n \choose 2} + 6{n \choose 3} \)

\(

= n + 3n(n - 1) + n(n - 1)(n - 2) = n + 3n^2 - 3n + n^3 - 3n^2 + 2n = n^3

\)

For the first part of the expression above, I just wrote:

FirstExpression=sum(A); %Comment: Since A,B,C etc all are 1 x n vectors

I can't figure out how to write the others, please help me out!

\( \sum_{i=1}^n A_i + 3\sum_{i \neq j}^n B_iC_j

+ 6\sum_{i>j>k}^n D_iE_jF_k \)

It looks like the number of terms in the expression above is given by:

\( {n \choose 1} + 3\times 2 \times {n \choose 2} + 6{n \choose 3} \)

\(

= n + 3n(n - 1) + n(n - 1)(n - 2) = n + 3n^2 - 3n + n^3 - 3n^2 + 2n = n^3

\)

For the first part of the expression above, I just wrote:

FirstExpression=sum(A); %Comment: Since A,B,C etc all are 1 x n vectors

I can't figure out how to write the others, please help me out!

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