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Class 11 Mathematics

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

MathematicsIf (^{n}C_{2}+^{n}C_{3}=^{n+1}C_{3}), this identity is based on which rule?Class 11Permutations and CombinationsCombinationsExpertMathematicsFor \(0\le r\le n\), which of the following identities represents the symmetry property of combinations?Class 11Permutations and CombinationsCombinationsExpertMathematicsIf (^{n}C_{2}=66), what is the value of (^{n}C_{4})?Class 11Permutations and CombinationsCombinationsExpertMathematicsIf (^{n}C_{4}=^{n}C_{6}), what is the value of (n)?Class 11Permutations and CombinationsCombinationsExpertMathematicsIn how many ways can an even number of coins be selected from (16) different coins?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (16) candidates (6) prize winners are to be selected and all prizes are identical. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (12) men and (10) women a committee of (7) persons is to be formed with exactly (4) men. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (15) candidates (5) prize winners are to be selected and all prizes are identical. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (11) men and (9) women a committee of (6) persons is to be formed with exactly (3) men. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsWhat is a selection process called when the order of objects chosen from a group does not affect the selection?Class 11Permutations and CombinationsCombinationsHardMathematicsFor integers \(0\le r\le n\), which relation is always true between choosing \(r\) objects from \(n\) objects and choosing the objects left out?Class 11Permutations and CombinationsCombinationsHardMathematicsIf (\binom{n}{2}=120), what is the value of (n)?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (10) men and (8) women a committee of (6) persons is to be formed with exactly (3) men. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsIf a set has \(n\) elements, which expression gives the number of its subsets containing at least one element?Class 11Permutations and CombinationsCombinationsMediumMathematicsA school has to form a debate team of 3 students from 8 students. Two particular students cannot be on the same team. Which expression correctly gives the number of such teams?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (9) men and (7) women a committee of (6) persons is to be formed with exactly (2) men. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsWhat is the correct interpretation of the identity \,\(\binom{n}{r}=\binom{n}{n-r}\)\, in combinations?Class 11Permutations and CombinationsCombinationsMediumMathematicsIf (\binom{n}{4}=\binom{n}{6}), what will be the value of (n)?Class 11Permutations and CombinationsCombinationsMediumMathematicsIf (\binom{n}{2}=78), what is the value of (n)?Class 11Permutations and CombinationsCombinationsMediumMathematicsWhich of the following situations is an example of a combination?Class 11Permutations and CombinationsCombinationsMedium

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