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Counting Principle

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

MathematicsA (4)-digit number is formed using (0,1,2,3,4,5). Digits cannot repeat and the number must be less than (3000). How many numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA train ticket requires choosing (1) coach type, (1) seat type, and (1) meal option. The numbers of options are (4,3,5). If sleeper coach has only (2) meal options and the other (3) coaches have all (5) options, how many ticket combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA name plate uses (2) distinct symbols and (3) distinct letters. (5) symbols and (8) letters are available. If the first two places are for symbols and the next three are for letters, how many name plates are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a (5)-step online process, each step has (3) options. No two consecutive steps can have the same option, and the first option is fixed as (1). How many processes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a true-false test of (6) questions, exactly (4) answers must be true and the first question must be false. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (4)-digit number is formed using (2,3,4,5,6,7). Digits cannot repeat and the number must be odd. How many numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a digital clock app, a user chooses from (7) fonts and (6) colors. If (2) special fonts are available only with (3) colors and the remaining fonts are available with all colors, how many combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a (6)-digit bank token, the first (2) digits must be same and the last (4) digits must all be distinct. The first digit cannot be (0). How many tokens are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn course registration, a student chooses (1) of (3) core subjects, (2) of (4) elective subjects with order, and (1) of (2) clubs. How many registrations are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA bag tag has (3) colored strips arranged in order. (8) colors are available and adjacent strips cannot have the same color. How many tags are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a (4)-place locker code, each place can contain a digit from (1,2,3,4,5,6). Exactly (2) places must contain (6). How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (5)-digit number is formed using digits from (0) to (9). The first digit is not (0), and the digit (7) must occur exactly once. How many numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (6)-letter word is formed using (A,B,C). Each letter must appear at least once. How many such words are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn an app, a user must pass through (3) security levels. The levels have (2,4,5) choices respectively. If choosing a special option at the second level reduces the third level by (2) choices, how many paths are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (4)-digit code can use only odd digits (1,3,5,7,9). Digits may repeat, but the code cannot start with (5). How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsOn a box, (2) symbols and (2) colors are printed in order. (6) symbols and (5) colors are available. The two symbols must be distinct and the two colors must be distinct. How many print designs are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (3)-digit number is to be formed using digits from (1) to (7). Digits may repeat and the number must be greater than (400). How many numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn an exam of (6) questions with (5) options each, a student answers every question. The same option cannot be chosen in any two consecutive questions. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsOn a library shelf, one Mathematics book and one Science book must be placed in order from (5) Mathematics and (4) Science books. If the first place is for Mathematics and the second for Science, how many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (7)-digit number is formed from (0,1,2,\ldots,9). Digits may repeat, the first digit is not (0), and the last (2) digits are same. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert

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