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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 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 countingHard MathematicsIn 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 countingHard MathematicsThe first (2) places of a string are filled by distinct letters from (5) letters, and the last (2) places by distinct digits from (1,2,3,4). The last two digits must contain at least one even digit. How many strings are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn online test has (9) chapters. (3) chapters have (5) sets and (6) chapters have (4) sets, then (2) modes and (2) languages are selected. How many test forms are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn access code contains (2) distinct letters from (6) available letters, (2) symbols from (5) symbols, and (1) odd digit from (5) odd digits. Symbols may repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsFor a T-shirt, there are (5) sizes, (7) colors, and (4) designs. With black color only (2) designs are available, and with other colors (4) designs are available. How many T-shirt combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsIn (6) periods of a day, (8) subjects are to be placed without repetition. The last period must be one of (3) lab subjects, and the first period cannot be either of two non-lab subjects. How many timetables are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsIn a (5)-digit PIN, digits cannot repeat, the first digit cannot be (0), and the digit (7) must occur exactly once. How many such PINs can be formed?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsOne book is to be selected from each of four subjects. Mathematics has (5), Physics has (4), Chemistry has (6), and Biology has (3) books. The first Mathematics book and the second Chemistry book cannot be selected together. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsThere are (7) routes from (X) to (Y), (6) routes from (Y) to (Z), and (4) routes from (Z) to (W). If the first route from (Y) to (Z) is chosen, only (2) later routes are available. How many journeys are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn identity number has (2) distinct letters followed by (4) odd digits. Letters cannot repeat and odd digits may repeat. How many identity numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA password has the form letter-digit-letter-digit-letter-digit. The first letter is a vowel, all three letters are distinct, all three digits are distinct, and the last digit is even. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA meal has (6) starters, (8) main dishes, and (5) desserts. With (2) special main dishes only (3) desserts are available, while with the rest (5) are available. How many meal combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA traveler can go from (A) to (B) by (4) routes, from (B) to (C) by (3) routes, and from (C) to (D) by (5) routes. How many total journeys are possible from (A) to (D)?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA code has first (3) distinct letters from the English alphabet and then (2) digits. The first digit cannot be (0) and digits may repeat, so how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard