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What is 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 10,000?

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What is 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 10,000?
posted Jun 5, 2019 by Vishal

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Calculate the number of ordered triples (A1, A2, A3) such that:

A1 ∪ A2 ∪ A3 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A1 ∩ A2 ∩ A3 = ∅

Write your answer as 2a3b5c7d where a, b, c, d are non-negative integers.

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