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Explain using words and pictures why we subtract AnB| in the principle of inclusion-exclusion formula: |AU B| = |A| + |B| |An B|. Explain

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Explain using words and pictures why we subtract AnB| in the principle of inclusion-exclusion formula: |AU B| = |A| + |B| |An B|. Explain using words and pictures why we add AnBnC in the principle of inclusion-exclusion formula: |AUBUC| = |A| + |B| + |C| |AnB| = |AnC| = |BnC|+|AnBnC\.

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