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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।

MathematicsThere are (5) men and (4) women in a meeting. A committee of (5) members is to be formed with exactly (3) men. In how many ways can it be formed?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsUsing digits (0,1,2,3,4,5,6), how many (4)-digit numbers can be formed without repetition and divisible by (3)?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsFrom (6) mathematics books and (5) physics books, a group of (4) books is to be selected with at least one book from each subject. How many groups are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsA student must attempt (5) questions out of (8). At least (2) of the first (3) questions must be attempted. In how many ways can the selection be made?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsUsing the digits (0,1,2,3,4,5), how many (5)-digit numbers can be formed without repetition and divisible by (5)?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsUsing the digits (1,2,3,4,5), how many (4)-digit numbers can be formed without repetition and divisible by (2)?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsOn a website, a main category, subcategory, article, and language are selected. Among (8) main categories, (6) have (5) subcategories and (2) have (3) subcategories; every subcategory has (4) articles and (2) languages. How many page paths are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsIn a (6)-digit OTP, digits may repeat and the first digit cannot be (0). The last two digits are equal, and that digit does not appear in the first four places. How many such OTPs are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA word-style code has the order vowel-consonant-vowel-consonant. There are (5) vowels and (21) consonants, vowels cannot repeat and consonants cannot repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsIn a conference, a track, session, workshop, and certificate are chosen. In the normal (3) tracks there are (6) sessions, (5) workshops, and (2) certificate options; in the fourth track there are (3) sessions, (5) workshops, and no certificate option. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA (5)-character badge has the first (2) places as digits and the next (3) places from (8) letters. The digit sum is even, digits are distinct, and the letters contain (X) exactly once. How many badges are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA four-stage machine sequence has (3,4,5,6) choices respectively. After one machine in the second stage, (2) machines in the third stage cannot be chosen. How many valid sequences are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA survey has (6) questions. The first (2) questions have (4) options each, the next (3) have (5) options each, and the last has (3) options. If option (D) is chosen in the first question, only (2) options remain in the last question. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA die is rolled to choose a card box. For a prime result a box with (5) cards is used, and for a non-prime result a box with (7) cards is used, then one of (4) colors is selected. How many outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA code has first (2) distinct uppercase letters, then (2) vowels and (1) digit. If both vowels are the same, the digit must be even, and if the vowels are different, any digit is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsThere are (10) true-false questions. The last answer is fixed as true, and the first (3) answers cannot all be the same. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsOne snack is to be selected from each of three counters. The counters have (6,7,8) items and contain (2,3,1) premium items respectively. How many ways are there to select exactly one premium item?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsIn a (5)-place code, the first (2) places are filled by distinct letters from (7) letters, and the last (3) places by distinct digits. The fourth digit must be greater than the fifth digit. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsIn a layered network, one node is selected from (3) nodes of the first layer, one from (4) nodes of the second layer, and one from (5) nodes of the third layer. One specific pair between the first and second layers is blocked. How many valid paths are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA gift pack has (4) box choices, (6) ribbon choices, (5) card choices, and (7) sticker choices. If one special box and one special ribbon are chosen together, sticker choices reduce from (7) to (3). How many packs are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Hard