The value of `|__ul(4)-|__ul(3)` is :

Options

A. 18
B. 16
C. 1
D. 12

Answer

To solve the problem, we need to calculate the value of \( |4! - 3!| \).

### Step-by-Step Solution:

1. **Calculate \( 4! \)**:
\[ 4! = 4 \times 3 \times 2 \times 1 = 24 \]

2. **Calculate \( 3! \)**:
\[ 3! = 3 \times 2 \times 1 = 6 \]

3. **Subtract \( 3! \) from \( 4! \)**:
\[ 4! - 3! = 24 - 6 = 18 \]

4. **Take the absolute value**:
Since \( 4! \) is greater than \( 3! \), we have:
\[ |4! - 3!| = |18| = 18 \]

### Final Answer:
The value of \( |4! - 3!| \) is \( 18 \).