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Re: Sum of Products

SymmetricPolynomial, for example,

SymmetricPolynomial[2, {a, b, c}] ==
  Total[Times @@@ Subsets[{a, b, c}, {2}]] // Simplify


SymmetricPolynomial[2, {a, b, c, d}] ==
  Total[Times @@@ Subsets[{a, b, c, d}, {2}]] // Simplify


SymmetricPolynomial[4, {a, b, c, d, e, f}] ==
  Total[Times @@@ Subsets[{a, b, c, d, e, f}, {4}]] // Simplify


Bob Hanlon

On Tue, May 29, 2012 at 5:48 AM, Harvey P. Dale <hpd1 at> wrote:
>        If I have a list and want to sum the products of each possible
> grouping of two elements in the list, this program will do that:
>                Total[Times @@@ Subsets[{a, b, c}, {2}]]
> Is there any other, shorter, built-in Mathematica object that will
> produce the same result?
>        Thanks.
>        Harvey

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