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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।

MathematicsWhat is the grouped meaning of dividing by (r!(n-r)!) in the derivation of (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf there are (3) different posts among (7) candidates, what is the choose-and-arrange expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat formula connection gives the maximum number of triangles from (10) points if no (3) are collinear?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhere does (6) come from in (^{n}C_3=\frac{n(n-1)(n-2)}{6})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhen the numerator of (^{n}C_3) is simplified, which product appears?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsTo obtain (^{8}C_3) from (^{8}P_3), by what should we divide?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (\frac{^{n}P_4}{^{n}P_3}=7), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich multiplier connects (^{n}C_{r+1}) with (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing Pascal's identity, which is the correct split of (^{9}C_5)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_4=^{n}C_6) and the lower indices are different, what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsFor easier calculation, (^{15}C_{12}) should be changed into which form?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the correct multiplier connecting (^{12}P_4) with (^{12}C_4)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_3=^{n}C_3\times k), from which factorial does (k) come?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_2=45), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf ⁿP₂ = 90, what is the value of n using the permutation formula?Class 11Permutations and CombinationsPermutationsMedium MathematicsWhat is the practical meaning of (n-r) in (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat does the new factor represent in (^{n}P_r=^{n}P_{r-1}(n-r+1))?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich expression gives the number of selections from (6) distinct coins excluding the empty selection?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIn \(^{n}C_r=\frac{n}{n-r},^{n-1}C_r\), which lower index remains the same?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich derivation gives (^{n}C_r=\frac{n}{n-r},^{n-1}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium