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1. Let S N x N, the set of all ordered pairs of natural numbers. Prove that S is countable (00) (0 1) (0 2)

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1. Let S N x N, the set of all ordered pairs of natural numbers. Prove that S is countable (00) (0 1) (0 2) (0 3) (0 4) (10) (1 1) ( 2) (1 3) (14) (20) (2 1) (22) (2 3) (2 4) (30) (3 1) (3 2) (3 3) (3 4) (4 0) (41) (4 2) (4 3) (44)

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