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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 value of (2! + 2! + 2!)?Class 11Permutations and CombinationsFactorial notationEasy MathematicsA team of (5) is formed from (12) candidates and at least (2) of (A,B,C) are selected. Which count is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf (\frac{{}^{n}C_{r}}{{}^{n}C_{r-1}}=\frac{7}{3}), which relation is formed?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf (\frac{{}^{n}C_{r+1}}{{}^{n}C_r}=\frac{4}{5}), which relation is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf ({}^{n}P_5=15{}^{n}P_4), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf ({}^{30}C_{3r-2}={}^{30}C_{r+8}) and the lower indices are unequal, what is (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf ({}^{n}C_{r}= {}^{n}C_{r+6}) and the indices are unequal, which relation is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf ({}^{n}C_{r+1}<{}^{n}C_r), which inequality is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIf ({}^{n}C_{r+1}>{}^{n}C_r), which condition is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsWhich method is used to separate coefficients with indices (0,3,6,\ldots) in ((1+x)^n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsWhich option correctly lists cases for the coefficient of (x^4) in ((1+x+x^2)^n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsWhich expression gives the coefficient of (x^3) in ((1+x+x^2)^{10})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsWhat is the coefficient of (a^2b^3c^1d^4) in ((a+b+c+d)^{10})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsIn length (r) strings with exactly (s) distinct symbols used, what does (s!,S(r,s)) count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsLength (9) strings are formed from (6) symbols and exactly (4) distinct symbols are used. Which count is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsLength (8) strings are formed from (5) symbols and every symbol appears at least once. Which inclusion-exclusion form gives the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsUsing digits (1,2,3,4,5,6,7,8) with repetition allowed, if exactly (3) even digits occur in (6)-digit numbers, what is the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsUsing digits (0) to (9) without repetition, what is the count for (6)-digit even numbers with a non-zero even last digit?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsUsing digits (0,1,2,3,4,5,6,7,8,9) without repetition, (6)-digit even numbers are formed. What is the count when (0) is the last digit?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert MathematicsWhat is the count for bracelet arrangements of (10) distinct beads?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpert