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Fundamental Principle Of Counting

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA 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 countingHardMathematicsA 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 countingHardMathematicsIn 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 countingHardMathematicsThe 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 countingHardMathematicsAn 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 countingHardMathematicsAn 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 countingHardMathematicsFor 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 countingHardMathematicsIn (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 countingHardMathematicsIn 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 countingHardMathematicsOne 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 countingHardMathematicsThere 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 countingHardMathematicsAn 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 countingHardMathematicsA 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 countingHardMathematicsA 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

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