Explain inclusion-exclusion principle and Pigeon Hole Principle with example.
The Inclusion-Exclusion Principle is a counting technique used to calculate the cardinality of the union of multiple sets when there is overlap between them. It adjusts for overcounting by subtracting the intersections of the sets. For two sets A and B, the _________ ____ __________ ___ ____ _______ _________ ________ _________ _________.
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