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Restricted Functions

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (A={1,2,3,4,5}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)\le f(2)<f(3)) and (f(4)=f(5))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4,5,6}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)), (f(3)=f(4)), and (f(5)\ne f(6))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)<f(2)) and (f(3)=f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4,5}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)=f(3))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)) and (f(3)\ne f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:A\to B) is a function and (A={p,q,r,s}), (B={0,1}), how many functions are possible with (f(p)=0) and (f(q)=1)?Class 11Relations and FunctionsFunctions as a special kind of relationHard