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Counting Functions

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

MathematicsIf (A) has (2) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsFor sets (A={1,2,3}) and (B={a,b,c,d}), how many one-one functions can be formed from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (|A|=5) and (|B|=7), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (|A|=3) and (|B|=5), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4,5}) and (B={a,b,c,d,e,f,g}), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4}) and (B={p,q,r,s,t}), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) are not onto?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A={1,2,3}), how many functions from (A) to (A) are not one-one?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A) has (5) elements and (B) has (3) elements, how many functions from (A) to (B) have range exactly of size (2)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A={1,2,3,4}) and (B={a,b,c}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to A), where (A={1,2,3}), is a constant function, how many such functions are possible?Class 12Relations and FunctionsFunctionsHard MathematicsHow many onto functions can be formed from (A={1,2,3,4}) to (B={a,b})?Class 12Relations and FunctionsFunctionsHard MathematicsIf (A) has (4) elements and (B) has (4) elements, how many functions from (A) to (B) are both one-one and onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (A) has (3) elements and (B) has (4) elements, how many functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (A) has (2) elements and (B) has (4) elements, how many functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsEasy