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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।

MathematicsIf (^{n}C_2=78), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsHow many factors will be in the product form of (^{12}P_5)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIn the product form of (^{n}P_r), if (r=5), what is the last factor?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhy is (^{n}C_0+^{n}C_2+^{n}C_4+\cdots) equal to (2^{n-1})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the relation between coefficients of (x^3) and (x^5) in ((1+x)^8)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhy are the coefficients of (x^4) and (x^5) in ((1+x)^9) equal?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_r=^{n-1}C_r+X), what is (X)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing Pascal's identity, which is the correct expansion of (^{10}C_6)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsHow can (^{11}C_8) be connected with (^{11}P_3)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (\frac{^{n}P_5}{^{n}P_4}=6), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the correct simplified value of (\frac{^{n}C_5}{^{n}C_4})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_3=^{n}C_7) and the lower indices are different, what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf ⁿPᵣ = 24 × ⁿCᵣ, what is the value of r?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_r=20\times{}^{n}C_r), what is the possible value of (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsBy which formula connection can (^{10}P_3\div3!) be directly called (^{10}C_3)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (r=0), why is (^{n}P_r=^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (r=1), why is (^{n}P_r=^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIn the factorial formula of (^{n}P_r), the denominator ((n-r)!) is connected with which group of objects?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (11) objects are divided into (4) selected and (7) rejected objects, what is the selected group count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhy does the value not change when (r) and (n-r) are interchanged in (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium