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ds - set p

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VP
Joined: 30 Sep 2004
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06 Nov 2005, 10:33
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If P is a set of consecutive integers, is there an even number of integers in set P?
(1) The sum of the integers in set P is 0
(2) The product of the integers in set P is 0
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VP
Joined: 22 Aug 2005
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06 Nov 2005, 10:45
A.

(1) sum will be 0 when:
-n, -n+1,....-2,-1,0,1,2,....,n-1,n
the number of integers to the left and right of 0 should be same. therefore, total number of integers = odd
sufficient

(2) product will be 0 as long as 0 is in the set
0,1
0,1,2
06 Nov 2005, 10:45
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