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Pascal Identity

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

MathematicsUsing Pascal identity, (^{n}C_r+{}^{n}C_{r-1}) is written in which form?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard MathematicsWhat is the first correct step in simplifying \(\binom{12}{4}+\binom{12}{5}+\binom{13}{6}\)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard MathematicsUsing Pascal's identity, how can \(\binom{n}{r}+\binom{n}{r+1}\) be written?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard MathematicsWithout full calculation, ¹¹C₅ + ¹¹C₆ can be simplified to what?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_r=^{n-1}C_{r-1}+Y), what is (Y)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing Pascal's identity, which is the correct expansion of (^{11}C_7)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_r=^{n-1}C_r+X), what is (X)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing Pascal's identity, which is the correct expansion of (^{10}C_6)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing Pascal's identity, which is the correct split of (^{9}C_5)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsUsing the fixed object method which decomposition of (^{10}C_4) is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsIf the special object is not included in the selection for (^{n}C_r) what is the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsIf one object is treated as special among (n) distinct objects what is the included case count for (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsIn Pascal's identity into which two parts will (^{8}C_4) be split?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsBy Pascal's relation (^{7}C_3) is equal to what?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsFrom which counting idea does Pascal's relation (^{n}C_r=^{n-1}C_r+^{n-1}C_{r-1}) come?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsAccording to Pascal's relation (^{6}C_2) is equal to what?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsIn Pascal's relation (^{n}C_r=^{n-1}C_r+^{n-1}C_{r-1}) what does (^{n-1}C_{r-1}) represent?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsIn Pascal's relation (^{n}C_r=^{n-1}C_r+^{n-1}C_{r-1}) what does (^{n-1}C_r) represent?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsWhat is the value of (^{13}C_{6}+^{13}C_{7})?Class 11Permutations and CombinationsCombinationsExpert MathematicsThe simplified value of C(15,7) + C(15,8) is equal to what?Class 11Permutations and CombinationsCombinationsMedium