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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe identity (\sum_{k=r}^{n}{}^{k}C_r={}^{n+1}C_{r+1}) is proved by which counting idea?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsWhat is ({}^{n}C_r\cdot r!(n-r)!) always equal to?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsWhat is the most correct combinatorial basis of the identity (\sum_{k=0}^{r}{}^{m}C_k{}^{n}C_{r-k}={}^{m+n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsThe identity ({}^{m+n}C_r=\sum_{k=0}^{r}{}^{m}C_k{}^{n}C_{r-k}) is a form of which identity?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsHow is (\sum_{r=0}^{n}{}^{n}C_r=2^n) understood through subsets?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIn a tournament of (n) teams, if each team plays one match with every other team, what is the number of matches?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhy is the number of handshakes among (n) people (^{n}C_2), not (^{n}P_2)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhat is the number of quadrilaterals formed from vertices of an (n)-gon if no (3) vertices are collinear?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsAmong (12) points, no (3) are collinear. What is the number of triangles?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf a (3)-member committee without posts is formed from (8) people, why is (^{8}P_3) wrong?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhat is the number of ways to select at most (3) objects from (n) distinct objects?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhat is the number of ways to select at least (3) objects from (n) distinct objects?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIn (^{n}P_r=^{n}C_r\cdot r!), what does (r!) represent?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIn (^{n}C_r=^{n}C_s), if (r\neq s), which condition is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{18}C_{2r}=^{18}C_{r+3}) and (2r\neq r+3), what is (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{15}C_{r}=^{15}C_{r+3}) and the indices are different, what is the value of (r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsUsing Pascal identity, (^{n}C_r+{}^{n}C_{r-1}) is written in which form?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf (^{n}C_r) is compared with (^{n-1}C_{r-1}), which ratio is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsWhich idea explains the relation (^{n}C_r=\frac{n}{r}{}^{n-1}C_{r-1})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHardMathematicsIf at least (1) object must be selected from (n) objects, why are the total selections (2^n-1)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard

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