#1 A set consists of five different odd positive integers, each greater than 2. When these five integers are multiplied together, their product is a five-digit integer of the form AB0AB, where A and B are digits with A ≠ 0 and A ≠ B (the hundreds digit of the product is zero). For example, the integers in the set {3, 5, 7, 13, 33} have a product of 45045. In total, how many different sets of five different odd positive integers have these properties?
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