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

MathematicsChoose (4) digits from (1,2,\ldots,9) such that their sum is even. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsChoose (3) numbers from (1) to (12) such that their sum is odd. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsChoose (4) digits from (1,2,\ldots,9) such that their sum is even. How many selections are there?Class 11Permutations and CombinationsCombinationsExpert MathematicsFrom the numbers (1) to (12), (4) numbers are chosen so that their sum is even. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsFrom the numbers (1) to (20), (3) numbers are chosen so that their sum is odd. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsFrom the numbers (1) to (15), (4) numbers are chosen so that their product is odd. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsFrom the numbers (1) to (8), (3) numbers are chosen so that their sum is even. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsIn how many ways can an odd number of toys be selected from 13 different toys?Class 11Permutations and CombinationsCombinationsMedium Mathematics(3) numbers are to be selected from (1) to (20). Their product must be even and their sum must be odd. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA license code has (3) letters and (3) digits. Repetition is allowed among (7) letters, but not among digits (0) to (9). The sum of the digits must be odd. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert Mathematics(4) integers are to be selected from (1) to (12). No two selected integers should be consecutive, and their sum must be even. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsLet \(f:\mathbb{R}\to\mathbb{R}\) be an even function and \(g:\mathbb{R}\to\mathbb{R}\) be an odd function. Which statement about \(h(x)=f(g(x))\) is always true?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=\frac{1}{x^2}), what is the nature of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+3x) and (g(x)=x^2-3x), what is the nature of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=x²+3x and g(x)=x²−3x, what is the nature of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=|x| and g(x)=x², what is the nature of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsFor functions defined on the real numbers, if \(f(x)=x^2\) and \(g(x)=x\), what is the nature of \((fg)(x)=f(x)g(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}) is given by (f(x)=x) when (x) is even and (f(x)=7-x) when (x) is odd, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf A = {1,2,3,4,5}, B = {1,2,3,4,5}, and R = {(x,y): x + y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) is defined by \(f(x)=x\) when \(x\) is odd and by \(f(x)=5-x\) when \(x\) is even, what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert