If seven integers are selected from the first 12 negative integers, how many pairs of these integers will have a sum of −13?

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01-11-2017
Mathematics

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If seven integers are selected from the first 12 negative integers, how many pairs of these integers will have a sum of −13?

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sqdancefan sqdancefan · Answer 1 · 2018-12-08T23:34:06+01:00

sqdancefan sqdancefan

08-12-2018

Answer:

At least 1, possibly as many as 3.

Step-by-step explanation:

There are 6 pairs of integers among those from -1 to -12 that will sum to -13. If you choose 7 integers, you may only choose one pair, or you may choose as many as three pairs.

One to three pairs will sum to -13.

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