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Counting Relations

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}, how many symmetric relations do not contain (1,1)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsHow many symmetric relations can be formed on A = {1, 2, 3}?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf a relation on (A={1,2,3,4}) is both symmetric and antisymmetric, how many such relations are possible?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric on (A={1,2,3}) and contains exactly one diagonal pair and exactly two off-diagonal ordered pairs, how many such relations are possible?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4,5}), how many symmetric relations on (A) contain no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsA set (A) has (6) elements. How many relations on (A) are both symmetric and reflexive?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4,5}), the number of symmetric relations on (A) equals which of the following?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn a set with (5) elements, how many symmetric relations have no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsHow many different symmetric relations can be formed on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsA set (A) has (n) elements. How many relations on (A) are reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4}), how many reflexive relations have at least 6 pairs?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (A={1,2,3}), how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (A={1,2,3}), how many relations on (A) are not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (A={1,2,3,4}), how many relations on (A) are reflexive but not the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (A={1,2,3,4}), what is the ratio of the number of symmetric relations to the number of reflexive and symmetric relations?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (A={1,2,3,4}), how many relations on (A) do not contain all self-pairs?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A={1,2,3}), how many relations on (A) are reflexive but not universal?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A) has (6) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A={1,2,3,4}), what is the ratio of the number of reflexive relations to the number of all relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (A) has (n) elements, which is the number of symmetric relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert