The sum of the elements of a set of positive integers is 22.
What is the greatest possible product of the integers in this set if:

A Duplicates are allowed?
B Duplicates are not allowed?

Problem modified from UNL Math Day with help from friedlinguini

(In reply to re: Solution by ananth by Jer)

The best numbers to use are e's. These, of course, would not be integers.
But we could use 22/e of them.

e^(22/e) > 3272

Posted by Jer on 2004-05-03 12:10:11