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All/Any different? (Posted on 2005-08-16) Difficulty: 4 of 5
Given positive integer n, consider the set of numbers {n+1, n+2, ... (n+1)}. If we pick two numbers x and y out of that set, how many different values can the product xy take?

See The Solution Submitted by Federico Kereki    
Rating: 3.5000 (6 votes)

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Hints/Tips A hint | Comment 15 of 26 |
The formula should work for n=1; the set is {2,3,4} and there are three possible products (6, 8, and 12).

(And it seems reasonable that for n=0, it should produce zero, since there would be no possible products.)

  Posted by Federico Kereki on 2005-08-16 23:11:35
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