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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।

MathematicsIn 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 countingHardMathematicsA 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 countingHardMathematicsIn a (4)-digit telephone extension, the first digit cannot be (0), digits do not repeat, and exactly (2) digits are even. How many extensions are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsAn exam paper code has (2) media, (7) subjects, (4) sets, and (3) versions. In Mathematics only (2) versions are available, while the other subjects have (3). How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA three-digit lock code is formed and then one letter is added. Digits are distinct, the number is divisible by (5), and if the last digit is (0), the letter cannot be a vowel. How many codes can be formed?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA student chooses (1) elective from Science, (1) from Arts, and (1) from Skill. Among (4) Science courses, one course can be taken with only (2) Skill courses, while the other (3) Science courses can be taken with (6) Skill courses. Arts has (5) options. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsIn a code, the first and last places are filled by distinct letters from (5) letters, and the two middle places are filled from (0,1,2,3). The two middle digits cannot both be prime. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsIn a project, the leader is selected from (6) seniors, the coder from (8) juniors, and the designer from (5) artists. The leader and coder cannot be from the same house; house counts among seniors are (2,4) and among juniors (3,5). How many teams are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA portal requires selecting a region among (4) regions. (3) regions have (3) schools each and one region has only (2) schools; every school has (5) sections and every section has (2) monitors. How many monitor selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA train journey goes from (A) to (D) via (B) and (C). On the outward journey, there are (4,5,6) train choices respectively, and on return the same train cannot be reused on any corresponding segment. In how many ways can the round trip be made?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA library card has (2) distinct letters from (6) letters, then one separator from (3) separators, and then (2) digits. The sum of the last two digits must be odd and digits may repeat. How many cards are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA password first has one symbol from (4) symbols, then one vowel from (5) vowels, then (2) distinct consonants from (21) consonants, and finally one digit. If the first symbol is a special symbol, the digit cannot be (0). How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA (4)-digit code is formed from digits (1) to (9) with no repeated digit. In the first two digits the first must be smaller, and in the last two digits the third must be larger. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA coupon selects one each from (4) soups, (3) breads, (5) curries, and (6) drinks. With (2) juice drinks only (3) curries are available, while with other drinks (5) curries are available. How many coupons are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA CAPTCHA has the form digit-letter-digit-letter-digit. Letters are chosen from (21) consonants with repetition, digits are distinct, and the middle digit is greater than the last digit. How many CAPTCHAs are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsOne question is to be selected from each of four sections. The sections contain (7,8,6,5) questions respectively. Section one has (2) starred and section three has (3) starred questions, and both selected questions cannot be starred. How many valid papers are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA vehicle plate has (2) letters followed by (4) digits. Letters may repeat, digits do not repeat, the first digit is not (0), and the last digit is odd. How many plates can be formed?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsOne representative is to be chosen from each of three clubs. Debate has (5) boys and (4) girls, Science has (6) boys and (3) girls, and Art has (4) boys and (5) girls. How many ways are there to choose exactly (2) girls?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsThree-digit even numbers are to be formed with no repeated digit. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA locker system has (4) keys, (6) rooms, and (5) boxes. The first key opens only (3) boxes, while the other (3) keys open all (5) boxes. How many valid selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHard

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