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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 (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 countingLevel 53HardMathematicsAn 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsIn 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 countingLevel 53HardMathematicsIn 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA (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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsOne 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 countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsOne 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 countingLevel 53HardMathematicsThree-digit even numbers are to be formed with no repeated digit. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsA 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 countingLevel 53HardMathematicsA username has (2) distinct lowercase letters followed by (3) digits. Both letters cannot be vowels, and the (3) digits must be in increasing order. How many usernames are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53HardMathematicsIn a journey from (P) to (Q), exactly one intermediate hub must be chosen. Via (H_1), there are (3) and (4) route choices, while via (H_2), there are (5) and (2) route choices. How many journeys are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Hard