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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।

MathematicsWhat is the highest power of (3) that divides (25!)?Class 11Permutations and CombinationsFactorial notationExpertMathematicsWhat is the smallest positive (n) for which (n!) is divisible by (1440)?Class 11Permutations and CombinationsFactorial notationExpertMathematicsHow many zeros will be at the end of (45!)?Class 11Permutations and CombinationsFactorial notationExpertMathematicsWhat is the highest power of (2) that divides (20!)?Class 11Permutations and CombinationsFactorial notationExpertMathematicsIf ( \frac{(n!)^2}{(n-2)!(n+2)!}=\frac{10}{21} ), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpertMathematicsWhat is the value of ( \frac{18!}{15!}-\frac{17!}{14!} )?Class 11Permutations and CombinationsFactorial notationExpertMathematicsIn 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 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 countingExpert

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