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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।

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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard 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 countingLevel 53Hard MathematicsIn a security question, (3) icons are chosen in order from (5) icons. No icon repeats, and if the star icon is chosen, it must be in the second position. How many answers are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsA box has (4) red, (3) blue, and (2) green distinct balls. Three balls are drawn in order without replacement. The first ball must not be red and the third must be green. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsIn a competition, first, second, and third prizes are awarded among (8) students. Two particular students cannot both appear in the prize list. How many prize assignments are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsA four-digit number is formed from (0,1,2,3,4,5,6) without repetition. It must be less than (4000) and odd. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsA shop has (4) types of pens, (5) types of notebooks, and (3) types of covers. A student chooses at least one item and at most one item from each type. If choosing a pen requires choosing a cover, how many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsA question bank has (5) algebra, (4) geometry, and (3) calculation questions. A set of exactly (3) questions must contain at least one algebra and at least one geometry question. How many sets are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsUsing digits (0,1,2,3,4,5,6,7,8,9) without repetition, how many six-digit numbers have an odd first digit and an even last digit?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard