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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।

MathematicsWhich expression gives the number of non-empty selections from 6 distinct coins?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsHow many 3-digit numbers can be formed from digits 1, 5, and 9 if repetition is allowed?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsHow many 2-digit numbers can be formed from digits 2, 5 and 8 if repetition is allowed?Class 11Permutations and CombinationsPermutationsEasyMathematicsIn a delivery code, the first (3) positions contain distinct letters chosen from (8) available letters and the last (3) positions contain digits from (0) to (9). If exactly one (0) must appear in the last (3) digits, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsIn a sports tournament, gold, silver, and bronze medal winners are to be chosen from (6) players. If player (A) must not receive any medal, how many outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (5)-digit code is formed using (1,2,3,4). Each digit must appear at least once. How many such codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA photo-filter app has (5) frames, (6) effects, and (4) text styles. If (2) premium effects are available with only (2) text styles and the remaining effects are available with all (4) text styles, how many combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA password has (3) lowercase letters and (1) special symbol in this order. Lowercase letters may repeat, and the special symbol is chosen from (4) options. If the first letter cannot be a vowel, how many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (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 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 countingExpertMathematicsA 5-letter signal is formed from P, Q, R, S and T. Letters may repeat, but both P and Q must appear in the signal. How many signals are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA question paper has (3) sections. A student must choose (2) questions from the first section with order, (1) from the second, and (1) from the third. The sections have (5,6,4) questions. How many ways 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 countingExpertMathematicsAn exam portal has 4 sections. The first 3 sections have 5, 4, and 6 questions respectively, and the fourth has 3 difficult and 2 easy questions. If 1 question is chosen from each section and the fourth must be easy, how many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium

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