Factorial Equations

Step 1: Write the equation.
The given equation is: $%5Cfrac%7B1%7D%7B9!%7D%20%2B%20%5Cfrac%7B1%7D%7B10!%7D%20%3D%20%5Cfrac%7Bx%7D%7B11!%7D$

Step 2: Simplify the terms.
We can factor $%5Cfrac%7B1%7D%7B9!%7D$ out of the left-hand side of the equation: $%5Cfrac%7B1%7D%7B9!%7D%20%5Cleft(%201%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%5Cright)%20%3D%20%5Cfrac%7Bx%7D%7B11!%7D$ $%5Cfrac%7B1%7D%7B9!%7D%20%5Cleft(%20%5Cfrac%7B10%20%2B%201%7D%7B10%7D%20%5Cright)%20%3D%20%5Cfrac%7Bx%7D%7B11!%7D$ $%5Cfrac%7B1%7D%7B9!%7D%20%5Ctimes%20%5Cfrac%7B11%7D%7B10%7D%20%3D%20%5Cfrac%7Bx%7D%7B11!%7D$

Step 3: Further simplify.
Now, multiply both sides by $11!$ to isolate $x$ : $%5Cfrac%7B11!%7D%7B9!%20%5Ctimes%2010%7D%20%3D%20x$ $x%20%3D%20%5Cfrac%7B11%20%5Ctimes%2010!%7D%7B10%7D%20%3D%20120$ Thus, the value of $x$ is 120. Therefore, the correct answer is 2. 120.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Factorial Equations

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs