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Find X in Each of the Following: 1 4 ! + 1 5 ! = X 6 ! - Mathematics

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Find x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]
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Solution

\[ \frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]
\[ \Rightarrow \frac{1}{4!} + \frac{1}{5(4!)} = \frac{x}{6!}\]
\[ \Rightarrow \frac{5 + 1}{5(4!)} = \frac{x}{6!}\]
\[ \Rightarrow \frac{6}{5!} = \frac{x}{6!}\]
\[ \Rightarrow \frac{6}{5!} = \frac{x}{6 \times 5!}\]
\[ \Rightarrow x = 36\]

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.1 | Q 3.1 | Page 4

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