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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 ∩....

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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.

posted Dec 4, 2023 by Vikram Luthra

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