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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।

MathematicsIf ( \frac{(n+1)!-n!}{(n-1)!}=49 ), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{5!+4!+3!}{3!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{10!}{7!}-\frac{9!}{6!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is ( \frac{(2n)!}{(2n-2)!} ) equal to?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{9!}{6!\cdot3!}\cdot\frac{3!}{2!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{8!}{3!\cdot5!}+\frac{7!}{2!\cdot5!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified value of ( \frac{6!\cdot5!}{7!\cdot4!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is ( \frac{(n+3)!}{(n+1)!} ) equal to?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{9!}{5!\cdot4!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of ( \frac{12!}{10!\cdot3!} )?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified value of \( \frac{8!}{6!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsA box has (5) white, (4) black, and (3) green balls. (4) balls are to be selected so that exactly (2) colours are present. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsUsing the digits (1,2,3,4,5), how many (4)-digit numbers can be formed without repetition and divisible by (2)?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsOn a website, a main category, subcategory, article, and language are selected. Among (8) main categories, (6) have (5) subcategories and (2) have (3) subcategories; every subcategory has (4) articles and (2) languages. How many page paths are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsIn a (6)-digit OTP, digits may repeat and the first digit cannot be (0). The last two digits are equal, and that digit does not appear in the first four places. How many such OTPs are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA word-style code has the order vowel-consonant-vowel-consonant. There are (5) vowels and (21) consonants, vowels cannot repeat and consonants cannot repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsIn a conference, a track, session, workshop, and certificate are chosen. In the normal (3) tracks there are (6) sessions, (5) workshops, and (2) certificate options; in the fourth track there are (3) sessions, (5) workshops, and no certificate option. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA (5)-character badge has the first (2) places as digits and the next (3) places from (8) letters. The digit sum is even, digits are distinct, and the letters contain (X) exactly once. How many badges are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA four-stage machine sequence has (3,4,5,6) choices respectively. After one machine in the second stage, (2) machines in the third stage cannot be chosen. How many valid sequences are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA survey has (6) questions. The first (2) questions have (4) options each, the next (3) have (5) options each, and the last has (3) options. If option (D) is chosen in the first question, only (2) options remain in the last question. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingHard