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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।

MathematicsUsing letters (A,B,C) and digits (1,2,3,4), how many strings of (5) symbols can be formed if repetition is allowed, the first symbol is a letter, and the last symbol is a digit?Class 11Permutations and CombinationsFundamental principle of countingExpert Mathematics(8) distinct objects are to be placed in (3) empty positions, with at most one object in each position. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA menu has (5) starters, (6) main dishes, and (4) desserts. A meal has one item from each type, and the main dish must not be any one of (2) special items. How many meals are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsThere are (4) routes from (P) to (Q) and (5) routes from (Q) to (R). A person goes from (P) to (R) and returns to (P), but must not use the same (P) to (Q) route and the same (Q) to (R) route on return. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn admission code has first (2) distinct letters followed by (3) distinct digits. If letters are chosen from (A,B,C,D,E) and digits from (1,2,3,4,5,6), how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsOn 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 countingHard MathematicsIn 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 countingHard MathematicsA student chooses one class each from 5 morning, 4 afternoon, and 6 evening classes. With the 2 live morning classes, the 3 recorded evening classes cannot be chosen. How many timetables are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA 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 countingHard MathematicsIn 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 countingHard MathematicsA (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 countingHard MathematicsA 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 countingHard MathematicsA 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 countingHard MathematicsA 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 countingHard MathematicsAn app theme has 5 backgrounds, 4 fonts, 6 icons, and 3 layouts. Two specific background-font pairs are invalid. How many valid themes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 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 countingHard MathematicsThere 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 countingHard MathematicsOne 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 countingHard MathematicsIn 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 countingHard MathematicsIn 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