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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 (\frac{^{n}C_{r+1}}{^{n}C_r}=3), which equation is formed?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_r=^{n}C_{r-3}) and the lower indices are different, which relation is correct for (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (0) is included among (8) digits and repetition is not allowed, what is the count of (5)-digit numbers?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (0) is included among (8) digits and repetition is allowed, what is the count of (5)-digit numbers?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf a (6)-letter word is made from (9) distinct letters with repetition allowed, what is the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf a (6)-letter word is made from (9) distinct letters without repetition, how is the count connected with (^{9}C_6)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhich sum is correct for a (5)-member committee with at least (3) girls from (7) boys and (6) girls?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhat is the expression for a 5-member committee with exactly 3 boys from 7 boys and 6 girls?Class 11Permutations and CombinationsCombinationsMediumMathematicsIf (3) boys and (2) girls are selected from (7) boys and (6) girls, which formula is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsHow can (^{10}C_5\times5) be written in permutation form?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf a committee of (5) is formed from (10) people and then (1) coordinator is chosen from that committee, what is the expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsHow many consecutive decreasing factors appear in the numerator of (^{n}C_5)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhich factorial gives the denominator in the simplified form of (^{n}C_5)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_2=105), what is the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsHow many factors are there in the product form of (^{13}P_6)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIn the product form of (^{n}P_r), if (r=6), what is the last factor?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsThe sum (^{n}C_1+^{n}C_3+^{n}C_5+\cdots) is equal to what?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhy are the coefficients of (x^5) and (x^6) in ((1+x)^{11}) equal?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhat is the relation between the coefficients of (x^3) and (x^7) in ((1+x)^{10})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_r=^{n-1}C_{r-1}+Y), what is (Y)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium

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