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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।

MathematicsLet |A|=5. A relation R on A is reflexive and symmetric and is required to contain (1,2). How many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsIf (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 6HardMathematicsIf (A) has (6) elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 6HardMathematicsIf (A) has (n) elements, what is the number of relations on (A) that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsIf (A={1,2,3}), what is the ratio of the number of all relations to the number of reflexive relations?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsIf (A) has (4) elements, how many symmetric relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsIf (A) has (5) elements, how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsIf (A) has (n) elements, what is the number of symmetric relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsIf (A) has (3) elements, how many symmetric relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsIf (A) has (4) elements, how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsIf (A={1,2,3}) and (R) is a reflexive relation, what is the minimum number of ordered pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsIf (A) has (5) elements, what is the number of relations that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 6MediumMathematicsIf (A) has (5) elements, what is the total number of relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 6MediumMathematicsIf (A) has (n) elements, what is the number of relations that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5MediumMathematicsIf (A) has (n) elements, what is the total number of relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4MediumMathematicsHow many reflexive relations are possible on (A={1,2})?Class 12Relations and FunctionsTypes of relationsLevel 4Medium