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Indian Navy 10+2 B.Tech Cadet Sets, Relations and Functions — practice questions

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Empty set has cardinality:100 students; 50 like math, 60 like physics, 30 like both. Find students who like neither:|A| = 5, |B| = 3. Number of relations from A to B:Distributive law: A ∩ (B ∪ C) =Number of equivalence relations on set {a, b, c}: