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QUESTION
Prove that if 11 integers are selected from among {1, 2, . , 20}, then the selection includes integers a and b such that b = a + 1. Exercise.
Prove that if 11 integers are selected from among {1, 2, . . . , 20}, then the selection includes integers a and b such that b = a + 1. Exercise. Prove that if n + 1 integers are selected from among {1, 2, . . . , 2n}, then the selection includes integers a and b such that b = a + 1. This implies that if n + 1 integers are selected from among {1, 2, . . . , 2n}, then the selection includes integer a and b such that gcd(a, b) = 1. Why is that?
