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Permutations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPermutations2 Marks
Question
Find x in the following.
$\frac{\text{x}}{10!}=\frac{1}{8!}+\frac{1}{9!}$
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Answer

$\frac{\text{x}}{10!}=\frac{1}{8!}+\frac{1}{9!}$
$\Rightarrow\text{x}=\frac{10!}{8!}+\frac{10!}{9!}$
$\Rightarrow=\frac{10\times9\times8!}{8!}+\frac{10\times9!}{9!}$
$\Rightarrow\text{x}=10\times9+10$
$\Rightarrow\text{x}=100$

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