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Factorial Notation

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

MathematicsWhat is the simplified form of ( \frac{(n+7)!}{(n+4)!}-\frac{(n+6)!}{(n+3)!} )?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf \( \frac{(n+6)!-(n+5)!}{(n+4)!}=196 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the simplified form of \( \frac{(n+6)!-(n+5)!}{(n+4)!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the simplified value of \( \frac{8!\cdot11!}{10!\cdot7!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsHow many zeros will be at the end of (80!)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf [(n+3)!/(n−2)!] ÷ [(n+2)!/(n−3)!] = 7, what is the value of n?Class 11Permutations and CombinationsFactorial notationMedium MathematicsWhat is the simplified form of \( \frac{\frac{(n+3)!}{(n-2)!}}{\frac{(n+2)!}{(n-3)!}} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf \( \frac{(n+2)!}{(n-2)!}=5040 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsHow many consecutive factors will be in the expansion of \( \frac{(n+2)!}{(n-4)!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{17!}{13!\cdot4!}-\frac{16!}{13!\cdot3!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{27!}{25!\cdot2!}-\frac{26!}{24!\cdot2!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the smallest positive (n) for which (n!) is divisible by (2^{10}\cdot3^4\cdot5\cdot7)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the highest power of (3) that divides (35!)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf \( \frac{(n+4)!}{(n-1)!(n+3)(n+2)}=840 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf (n+4)!/[(n−1)!(n+3)(n+2)] = 1170, what is the value of n?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified form of \( \frac{(n+4)!}{(n-1)!(n+3)(n+2)} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{10!+3\cdot9!}{8!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{12!}{6!\cdot6!}\times\frac{3}{11} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{13!}{7!\cdot6!}+\frac{13!}{8!\cdot5!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf \( \frac{(n+6)!}{(n+4)!}+\frac{(n+5)!}{(n+3)!}=338 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert