Inclusion-exclusion principle
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The two problems are taken from this derivation of the inclusion-exclusion principle:
http://www.proofwiki.org/wiki/Inclusion-Exclusion_Principle#Induction_Hypothesis
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This solution provides a 2-page pdf that explains the proof of inclusion-exclusion principle in detail. Some issues in the proof posted proofwiki is addressed to make the steps clearer.
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