(a) How many ways are there to pair up the elements of 1, 2, that each pair has sum at least 15? (b) How many ways are there to pair up the elements of 1, 2, that each pair has sum at least 13? (c) How many ways are there to pair up the elements of 1, 2, that each pair has sum at least 2001? ... 14 into seven pairs so .... 14 into seven pairs so .... 2024 into 1012 pairs so

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