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Permutations And Combinations

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

MathematicsUsing Pascal's identity, which is the correct expansion of (^{11}C_7)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich relation correctly connects (^{14}C_{11}) with (^{14}P_3)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (\frac{^{n}P_6}{^{n}P_5}=9), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the correct simplified form of (\frac{^{n}C_6}{^{n}C_5})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_5=^{n}C_8) and the lower indices are different, what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_r=^{n}P_{r-1}\times12), then (12) is equal to which expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich statement is most correct about the connection between (^{n}C_r) and (^{n}P_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (8) objects are divided into two unlabelled groups of (4) and (4), what is the expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (n) objects are divided into (2) equal unlabelled groups, by what should (^{n}C_{n/2}) be divided?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (n) objects are divided into (3) labelled groups of sizes (a), (b), (c), what is the form of the denominator?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the meaning of dividing by ((n-r)!) in the factorial derivation of (^{n}P_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhy does ((n-r)!) appear in the factorial derivation of (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_0+^{n}C_2+^{n}C_4+\cdots=128), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_0+^{n}C_1+\cdots+^{n}C_n=256), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_1+^{n}C_2+\cdots+^{n}C_n=63), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{18}C_x=^{18}C_{2x}) and (x\neq2x), what is (x)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{16}C_a=^{16}C_{a+4}) and the indices are different, what is (a)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf \(^{n}C_r=\frac{^{n}P_r}{120}\), what is the value of (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_r=^{n}C_r) and (n>1), which values of (r) are possible?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf among (9) letters (3) letters are identical of one type and (2) letters are identical of another type, which is the arrangement formula?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium