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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 the formula for (^{n}C_r), which factorials appear in the denominator of (^{n}C_{n-r})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_r=^{n}P_{r-1}\times5), then (5) is equal to which expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (\frac{^{n}C_r}{^{n}C_{r-1}}=1), which relation is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_r=^{n}C_{r-1}), what relation holds between (n) and (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (4)-digit numbers are formed from (6) digits without repetition and the first digit is non-zero with (0) included, which expression gives the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (3)-digit numbers are formed from (5) digits with repetition allowed and one digit is (0), what is the count when the first digit cannot be zero?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the relation between the number of (4)-letter words from (7) letters without repetition and (^{7}C_4)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}P_2=2\times{}^{n}C_2), why is this true?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_2=^{n}C_4) and (2\neq4), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the sum (^{n}C_1+^{n}C_3+^{n}C_5+\cdots)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsThe sum (^{n}C_0+^{n}C_2+^{n}C_4+\cdots) is connected with which identity?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf a (4)-member committee from (5) boys and (4) girls needs at least (2) girls, which summation is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf a committee of (2) boys and (2) girls is formed from (5) boys and (4) girls, what is the expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf mirror images are considered same in a necklace of (6) distinct beads, which gives the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhat is the ratio of seating (8) people around a round table to seating them in a line?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich principle is main while finding arrangements of words like (MISSISSIPPI)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf a word has (9) letters with (A) twice, (B) twice, and (C) three times, what will be the divisor?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsBy which permutation relation can (^{8}C_3\times3) also be understood directly?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf a team of (3) is selected from (8) players and then a captain is chosen from that team, what is the expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (n) distinct objects are divided into two unlabelled groups of sizes (r) and (n-r), what is the formula?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium