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Products of 22 (Posted on 2002-12-23) Difficulty: 2 of 5
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

See The Solution Submitted by cges    
Rating: 3.2222 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Solution by ananth | Comment 4 of 7 |
(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

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