If n = 9 and r = 5, then `(n-r)! =` ………….

Answer

To solve the problem, we need to calculate \( (n - r)! \) given that \( n = 9 \) and \( r = 5 \).

### Step-by-Step Solution:

1. **Identify the values of n and r**:
- Here, \( n = 9 \) and \( r = 5 \).

2. **Calculate \( n - r \)**:
- We need to find \( n - r \):
\[ n - r = 9 - 5 = 4 \]

3. **Calculate \( (n - r)! \)**:
- Now we need to find \( (n - r)! \), which is \( 4! \):
\[ 4! = 4 \times 3 \times 2 \times 1 \]

4. **Perform the multiplication**:
- Calculate \( 4! \):
\[ 4! = 4 \times 3 = 12 \]
\[ 12 \times 2 = 24 \]
\[ 24 \times 1 = 24 \]

5. **Final Result**:
- Thus, \( (n - r)! = 4! = 24 \).

### Answer:
\[ (n - r)! = 24 \]