Anushray writes down eight different natural
numbers on a piece of paper. Prove that
there
must be at least two numbers in that set whose
difference is divisible by 7.
You have to prove that no matter what those
eight numbers are there will definitely exist
a pair of numbers whose difference is divisible
by 7.
For example, if the numbers are
{3,6,8,11,14,16,19,20]
then there are two numbers 6 and 20 whose
difference (which is 14) is divisible by 7.
ar
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n o o o o o o o o o o o o o o o b b b b b b b b bb b b b b
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