Question

1.) Given any set of 53 integers, show that there are two of them having the...

1.) Given any set of 53 integers, show that there are two of them having the property that either their sum or their difference is evenly divisible by 103.

2.) Let 2^N denote the set of all infinite sequences consisting entirely of 0’s and 1’s. Prove this set is uncountable.

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