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Factorial Simplification

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 \( \frac{(n+6)!-(n+5)!}{(n+4)!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the simplified value of \( \frac{8!\cdot11!}{10!\cdot7!} \)?Class 11Permutations and CombinationsFactorial notationExpert 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 MathematicsIf \( \frac{(n+4)!}{(n-1)!(n+3)(n+2)}=840 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert 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 \( \frac{13!}{7!\cdot6!}+\frac{13!}{8!\cdot5!} \)?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 MathematicsWhat is the simplified form of \( \frac{(n+6)!}{(n+4)!}+\frac{(n+5)!}{(n+3)!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the simplified form of (n+6)!/(n+3)! − (n+5)!/(n+2)!?Class 11Permutations and CombinationsFactorial notationMedium MathematicsIf \( \frac{(4n+1)!}{(4n-1)!}=420 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is \( \frac{(4n+1)!}{(4n-1)!} \) equal to?Class 11Permutations and CombinationsFactorial notationExpert MathematicsIf \( \frac{(2n+3)!}{(2n-1)!}=17160 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsHow many factors remain in the expansion of \( \frac{(2n+3)!}{(2n-1)!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the simplified value of \( \frac{15!}{11!\cdot4!}\div\frac{14!}{10!\cdot4!} \)?Class 11Permutations and CombinationsFactorial notationExpert MathematicsWhat is the value of \( \frac{23!}{21!\cdot2!}+\frac{22!}{20!\cdot2!} \)?Class 11Permutations and CombinationsFactorial notationExpert