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

Find x in each of the following:

$\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}$

#### 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