Given 8 different natural numbers, none greater than 15, show that at least three pairs of them
have the same positive difference (the pairs need not be disjoint as sets).

Question

Given 8 different natural numbers, none greater than 15, show that at least three pairs of them have the same positive difference (the pairs need not be disjoint as sets).

Vikas TU · Answer

THE pairs can be: (1,2,4) (5,3,1) (8,6,1) These all have the difference of ''1'' which is a positive no.!

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Given 8 different natural numbers, none greater than 15, show that at least three pairs of them have the same positive difference (the pairs need not be disjoint as sets).

Given 8 different natural numbers, none greater than 15, show that at least three pairs of them
have the same positive difference (the pairs need not be disjoint as sets).

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Given 8 different natural numbers, none greater than 15, show that at least three pairs of them have the same positive difference (the pairs need not be disjoint as sets).

Given 8 different natural numbers, none greater than 15, show that at least three pairs of them have the same positive difference (the pairs need not be disjoint as sets).

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

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Given 8 different natural numbers, none greater than 15, show that at least three pairs of them
have the same positive difference (the pairs need not be disjoint as sets).