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Counting Functions

Class 11 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} and B={0,1}, how many functions f:A→B have at least one input with image 1?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf \(A=\{a,b,c,d\}\) and \(B=\{1,2,3\}\), how many functions from \(A\) to \(B\) have range exactly \(\{1,2\}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf (A=\emptyset) and (B={1,2,3}), how many functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf f: A → B has |A| = 5 and |B| = 2, the number of all relations is 2¹⁰. How many of these are functions?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={1,2}), how many subsets of (A\times B) are functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={a,b,c,d}) and (B={0,1}), how many functions can be formed from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={r,s,t}) and (B={0,1,2,3}), what is the total number of functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3}) and (B={0,1}), how many independent choices are there for each domain element while choosing a function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={a,b,c}) and (B={1,2}), how many functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2}) and (B={3,4,5,6}), what is the total number of functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2}) and (B={x,y,z}), how many functions can be formed from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf A={1,2} and B={3,4}, how many functions are there from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf A={1,2,3,4} and B={0,1}, what is the total number of functions from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf A={1,2,3} and B={0,1}, how many functions are there from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(A=\emptyset\) and \(B=\{1,2\}\), how many functions can be defined from \(A\) to \(B\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsLet \(A=\{1,2,3\}\) and \(B=\{0\}\). How many functions \(f: A\to B\) are possible?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(|A|=2\) and \(|B|=3\), what is the total number of functions from \(A\) to \(B\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf (A={p,q}) and (B={0,1}), how many functions can be formed from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy