Combinations of integers

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Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11

Is the conclusion true if 6 integers are selected instead of 7

How many numbers must be selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16.

Reference no: EM13126210

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