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Introduction To Relations

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

MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have exactly four equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations are neither symmetric nor antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many relations are reflexive and therefore cannot be irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (4) elements, how many relations are reflexive and symmetric but not antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (3) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)=1}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b) is divisible by (3)(}). How many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\le 5}). How many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations are both symmetric and antisymmetric but not reflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many symmetric relations are not reflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many reflexive relations are not symmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many symmetric relations contain exactly two diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations contain exactly two diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (4) elements, how many relations on (A) are both irreflexive and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (n) elements, what is the number of relations on (A) that are both symmetric and irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (n) elements, what is the number of irreflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations are neither reflexive nor irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,5,30}), how many maximal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,5,30}), how many minimal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,6,12}), what is the greatest lower bound of (6) and (12)?Class 12Relations and FunctionsIntroduction to RelationsExpert