Compute `(20!)/(18!(20-18))`.

Answer

To compute the expression \(\frac{20!}{18!(20-18)}\), we can follow these steps:

### Step 1: Simplify the expression
We start with the expression:
\[ \frac{20!}{18!(20-18)} \]
First, we simplify \(20 - 18\):
\[ 20 - 18 = 2 \]
So, we rewrite the expression as:
\[ \frac{20!}{18! \cdot 2} \]

### Step 2: Expand \(20!\)
Using the factorial definition, we can expand \(20!\):
\[ 20! = 20 \times 19 \times 18! \]
Now substitute this back into our expression:
\[ \frac{20 \times 19 \times 18!}{18! \cdot 2} \]

### Step 3: Cancel out \(18!\)
The \(18!\) in the numerator and denominator cancels out:
\[ \frac{20 \times 19}{2} \]

### Step 4: Compute the multiplication and division
Now, we calculate \(20 \times 19\):
\[ 20 \times 19 = 380 \]
Then, divide by \(2\):
\[ \frac{380}{2} = 190 \]

### Final Answer
Thus, the value of \(\frac{20!}{18!(20-18)}\) is:
\[ \boxed{190} \]