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- Examples of problems involving sets include12:
- Given two finite sets A and B such that n(A) = 30, n(B) = 18, and n(A ∪ B) = 26, find n(A ∩ B).
- Given n(A – B) = 12, n(A ∪ B) = 45, and n(A ∩ B) = 15, find n(B).
- Given A ∩ (B ⋃ C) = (A ∩ B) ⋃ (A ∩ C), prove that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Word Problems on Sets | Solved Problems on Sets
- 1. Let A and B be two finite sets such that n (A) = 30, n (B) = 18 and n (A ∪ B) = 26, find n (A ∩ B)? Solution: ...
- 2. If If n (A – B) = 12, n (A ∪ B) = 45 and n (A ∩ B) = 15, then find n (B)? Solution: ...
www.learncbse.in/word-problems-on-sets/A ∩ (B ⋃ C) = (A ∩ B) ⋃ (A ∩ C) [ verified] (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) L.H.S. = A ∪ (B ∩ C) B ∩ C = {e, f} A ∪ (B ∩ C) = {a, b, d, e, f} ………………..
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