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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।

MathematicsA team of (5) is formed from (12) candidates and at least (2) of (A,B,C) are selected. Which count is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsWhich expression gives the coefficient of (x^3) in ((1+x+x^2)^{10})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsUsing digits (0) to (9) without repetition, what is the count for (6)-digit even numbers with a non-zero even last digit?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsIn (D_n=(n-1)(D_{n-1}+D_{n-2})), from which situation does the (D_{n-2}) case arise?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsA committee of (5) is formed from (10) students, and (A) and (B) are either both included or both excluded. What is the count?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsWhat is the coefficient of (x^2) in ((1+x+x^2)^8)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsHow will the coefficient of (x^2) in ((1+x+x^2)^n) be derived?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsUsing digits (0,1,2,3,4,5,6,7,8) without repetition, what is the count for (5)-digit even numbers with a non-zero even last digit?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsUsing digits (0,1,2,3,4,5,6) without repetition, (4)-digit numbers divisible by (5) are formed. Which count expression is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsExpertMathematicsAmong (9) toppings, (2) are spicy, (3) are cheese, and (4) are other toppings. Choose (3) toppings with at least (1) spicy and at least (1) cheese topping. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsAmong (16) members, (4) are senior members. A committee of (7) must contain at least (2) senior members. How many committees are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsFrom (6) boys and (5) girls, a team of (5) students is to be formed with at least (2) boys and at least (2) girls. How many teams are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsChoose (3) numbers from (1) to (12) such that their sum is odd. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsFrom (7) teachers and (8) students, a (6)-member team is to be formed in which teachers are more than students. How many teams are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsFrom (6) red, (5) blue, and (4) green balls, (5) balls are to be selected with at least one ball of each color. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpertMathematicsAmong (13) persons, two particular persons are (P) and (Q). How many ways can (6) persons be chosen so that (P,Q) are either both selected or both not selected?Class 11Permutations and CombinationsCombinationsExpertMathematicsUsing digits (0,1,2,3,4,5,6,7,8,9), how many (6)-digit numbers can be formed without repetition, divisible by (25), and containing the digit (7)?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a two-day trip, a different city must be chosen each day. There are 5 cities and 3 hotel categories each day. If the capital is chosen on day two, only 2 hotel categories are available for day two. How many plans are possible?Class 11Permutations and CombinationsFundamental principle of countingHard

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