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Finite Sets

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

MathematicsIf A = {1, 2, 4, 8, 16, 32} and B = {x | x ∈ A, x < 10}, what is A \ B?Class 12SetsLevel 10Easy MathematicsIf \(A=\{1,2\}\), which is \(\mathcal{P}(A)\)?Class 12SetsLevel 8Easy MathematicsIf A = {2, 4, 6} and B = {2, 4, 6, 8}, which statement is correct?Class 12SetsLevel 7Medium MathematicsIf A = {1, 2, 3, 4}, how many subsets with four elements does A have?Class 12SetsLevel 8Easy MathematicsIf A = {1, 2, 2, 3, 3, 3}, what is n(A), the number of elements in A?Class 12SetsLevel 6Easy MathematicsIf both (A) and (B) have (4) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsReflexive relationLevel 27Expert MathematicsLet (A={1,2,3}), (B={a,b,c,d}). Is an onto function from (A) to (B) possible?Class 12Relations and FunctionsReflexive relationLevel 27Expert MathematicsIf (|A|=4) and (|B|=2), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (|A|=5) and (|B|=3), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (A={1,2,3}), (B={a,b,c,d}), and (f:A\to B), can (f) be onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (|A|=3) and (|B|=5), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsIf (|A|=4) and (|B|=4), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsFor sets (A={1,2,3,4,5}) and (B={a,b,c}), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsA function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=b), (f(4)=c). Choose the correct statement.Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIf (f:A\to B) is onto and (A), (B) are finite sets, which relation is always true?Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsA function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=c), (f(4)=a). Choose the correct statement.Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsA function (f:{1,2,3}\to{p,q,r}) is given by (f(1)=p), (f(2)=q), (f(3)=p). Is it onto or not?Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsIf (A) has (3) elements and (B) has (5) elements, what is the number of onto functions (A\to B)?Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsIf (A={1,2,3,4}), (B={a,b,c}), and (f:A\to B) is onto, which distribution is possible?Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsLet (A={1,2,3}), (B={a,b,c}), and (f:A\to B) with (f(1)=a), (f(2)=b), (f(3)=b). Is (f) onto?Class 12Relations and FunctionsOnto functionLevel 27Medium