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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।

MathematicsWhich statement best describes the relation among (^{n}C_r), (^{n}P_r), and (r!)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf it is said that (^{n}P_4=360\times{}^{n}C_4), what type of statement is it?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (10) objects are divided into two unlabelled groups of (5) and (5), what is the expression?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (n) objects are divided into (3) labelled groups of sizes (a), (b), (c), which formula is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhy do both (r!) and ((n-r)!) appear in the factorial derivation of (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_0+^{n}C_2+^{n}C_4+\cdots=256), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_0+^{n}C_1+\cdots+^{n}C_n=512), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}C_1+^{n}C_2+\cdots+^{n}C_n=127), what is (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{21}C_x=^{21}C_{2x}) and (x\neq2x), what is (x)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{20}C_a=^{20}C_{a+6}) and the indices are different, what is (a)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf \(^{n}C_r=\frac{^{n}P_r}{5040}\), what is the value of (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (^{n}P_r=^{n}C_r) and (r>1), which conclusion is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf among (10) letters (4) letters are identical of one type and (3) letters are identical of another type, which is the arrangement formula?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf a (10)-letter word has (A) (4) times and (B) (2) times, what will be the divisor for arrangements?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhat is the count for a necklace of (8) distinct beads when reflection is considered same?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (9) distinct objects are arranged in a circle, what is the relation with linear arrangements?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhich formula is used to form ordinary segments from (12) points?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsWhich formula is used to form directed segments from (12) points?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf a pentagon is formed by choosing (5) points from (12) points and no (3) are collinear, which formula is used?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf \(\frac{^{n}C_r}{^{n}C_{r-1}}=4\), which equation is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium

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