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Partition

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3,4,5,6}), how many equivalence relations have two classes both of size (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have exactly two equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (A={1,2,3,4}), how many equivalence relations have (1) and (2) in different classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (A={1,2,3,4}), how many equivalence relations have (1) and (2) in the same class?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have exactly three equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have exactly four equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4}), how many equivalence relations have exactly one class of size (2) and all other classes singleton?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have one class of size (2) and the other of size (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3,4}), how many equivalence relations have exactly two equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}) on (A={1,2,3,4}), which partition is formed by (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsFor the relation on A={1,2,3,4} whose equivalence classes are {1,2} and {3,4}, which pair is definitely absent?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsFor the partition ({{1},{2,3},{4,5}}) of (A={1,2,3,4,5}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf the classes of (R) on (A={1,2,3,4}) are ({1,2}) and ({3,4}), which pair will not be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsFor the partition ({{1,4},{2,3}}) of (A={1,2,3,4}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) is an equivalence relation on (A), which statement about its equivalence classes is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4),(4,2)}) on (A={1,2,3,4}), which partition is associated with (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), which partition is associated with this equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), which is the correct set of equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsFor the equivalence relation on (A={1,2,3}) formed by the partition ({{1},{2,3}}), which pair will not be present?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium