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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={1,2,3,4}), (B={a,b}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Medium MathematicsIf (A) has (5) elements and (B) has (3) elements, what is correct about the existence of an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Medium MathematicsIf (A={1,2,3}), (B={4,5,6,7}), why is no onto function from (A) to (B) possible?Class 12Relations and FunctionsOnto functionLevel 26Medium MathematicsIf (A) has (2) elements and (B) has (5) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (A) has (3) elements and (B) has (3) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (A) has (4) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (A={1,2,3,4}), (B={p,q,r}), and (f={(1,p),(2,q),(3,r),(4,q)}), what is correct about (f:A\to B)?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (f:{2,4,6}\to{0,1}), where (f(n)=0) when (n) is even and (f(n)=1) when (n) is odd, why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (f:{1,2,3,4,5,6}\to{0,1}), where (f(n)=0) when (n) is even and (f(n)=1) when (n) is odd, what is correct?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (A={1,2,3,4}) and (B={0,1}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (A) has (4) elements and (B) has (6) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (A={1,2,3,4,5}), (B={a,b,c}), and (f={(1,a),(2,b),(3,c),(4,b),(5,a)}), what is correct about (f:A\to B)?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (f:{1,3,5}\to{0,1}), where (f(n)) is (0) when (n) is even and (1) when (n) is odd, why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (f:{1,2,3,4,5}\to{0,1}), where (f(n)) is (0) when (n) is even and (1) when (n) is odd, what is correct about (f)?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (A={1,2,3}) and (B={p,q}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (A) has (2) elements and (B) has (4) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (A) has (5) elements and (B) has (2) elements, which statement about the possibility of an onto function from (A) to (B) is correct?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (A={1,2,3,4}), (B={a,b,c}), and (f={(1,a),(2,b),(3,c),(4,a)}), what is correct about (f:A\to B)?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (A) and (B) are finite sets and (f:A\to B) is onto, which statement is definitely true?Class 12Relations and FunctionsOnto functionLevel 25Easy MathematicsIf (A) has (3) elements and (B) has (5) elements, can there be an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Easy