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Find X in Each of the Following: X 10 ! = 1 8 ! + 1 9 ! - Mathematics

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प्रश्न

Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

उत्तर

\[ \frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]
\[ \Rightarrow \frac{x}{10!} = \frac{1}{8!} + \frac{1}{9(8!)}\]
\[ \Rightarrow \frac{x}{10!} = \frac{9 + 1}{9(8!)} \]
\[ \Rightarrow \frac{x}{10!} = \frac{10}{9!}\]
\[ \Rightarrow \frac{x}{10 \times 9!} = \frac{10}{9!}\]
\[ \Rightarrow x = 100\]

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अध्याय 16: Permutations - Exercise 16.1 [पृष्ठ ४]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.1 | Q 3.2 | पृष्ठ ४

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