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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)

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answer | Comment 5 of 7 |
(i) if duplicates are allowed, the required greatest possible product is  2916.

(ii) If duplicates are not allowed, the required greatest possible product is 1008.

  Posted by K Sengupta on 2007-05-16 06:00:04
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