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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 \(^{12}P_4=^{12}C_4\cdot x\), what is the correct value of (x)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhich of the following situations is represented by the expression \(\binom{n}{r}r!\)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhich is the correct reasoning for (^{n}C_n=1)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsThe derivation of (^{n}C_0=1) is connected with which basic counting idea?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf \(^{n}P_2=^{n}C_2\cdot k\), what is the value of (k)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{10}C_3=^{10}C_7), this is an example of which formula connection?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsThe formula (n!) for arranging (n) distinct objects comes from which product principle idea?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf a committee of (4) students is formed from (9) students then why is (^{9}C_4) sufficient?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhy is (^{8}P_2) used for choosing a captain and a vice-captain from (8) players?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (3) books out of (7) distinct books are to be placed on a shelf in order then which formula connection is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhile finding distinct arrangements of the word (LEVEL), why does the formula (\frac{5!}{2!}) appear?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsFrom the derivation (^{n}P_r=^{n}C_r r!), what is the correct rearranged form of (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{n}C_{r+1}=\frac{n-r}{r+1},^{n}C_r) then this relation is derived from which ratio?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsPascal identity (^{n}C_r=^{n-1}C_r+^{n-1}C_{r-1}) comes from which counting split?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsThe relation (^{n}C_r=^{n}C_{n-r}) is directly connected with which idea?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{n}P_r=n(n-1)\cdots(n-r+1)) then which factorial form is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhy do we divide by (r!) while deriving (^{n}C_r=\frac{n!}{r!(n-r)!})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf first (r) objects are selected and then arranged in order then which formula for (^{n}P_r) is naturally obtained?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{12}P_4) is to be obtained from (^{12}C_4), by which factor should it be multiplied?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMediumMathematicsIf (\frac{^{n}C_4}{^{n}C_3}=2), which equation is formed correctly?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium

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