{"id":2155,"date":"2022-03-26T07:07:58","date_gmt":"2022-03-26T07:07:58","guid":{"rendered":"https:\/\/swatilathia.com\/?p=2155"},"modified":"2022-03-30T02:38:27","modified_gmt":"2022-03-30T02:38:27","slug":"proof-of-na-u-b-na-nb-n-a-%e2%88%a9-b-by-venn-diagram","status":"publish","type":"post","link":"https:\/\/swatilathia.com\/?p=2155","title":{"rendered":"Proof of n(A U B) = n(A) + n(B) \u2013 n (A \u2229 B) by Venn Diagram"},"content":{"rendered":"\n
  1. Proof : Distribution Law of Union over Intersection<\/li>
  2. Proof : Distribution Law of Intersection over Union<\/li>
  3. De Morgan\u2019s Laws<\/li>
  4. Prove That A U (A \u2229 B) = A<\/li>
  5. Prove That : A \u2229 (A U B) = A & (A \u2013 B) \u2229 (B \u2013 A) = \u03a6<\/li>
  6. n(A U B) = n(A) + n(B) \u2013 n (A \u2229 B)<\/li><\/ol>\n\n\n\n
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    Video Tutorial \u2013 Set Properties & Laws<\/a><\/blockquote>