Fill in the blanks :
`""^(n)P_(r )=` ……….. .

Answer

To solve the question, we need to fill in the blank for the formula of permutations, denoted as \( nP_r \).

### Step-by-Step Solution:

1. **Understanding the Concept**:
The notation \( nP_r \) represents the number of permutations of \( r \) objects selected from \( n \) distinct objects.

2. **Formula for Permutations**:
The formula for permutations is given by:
\[ nP_r = \frac{n!}{(n - r)!} \]
Here, \( n! \) (n factorial) is the product of all positive integers up to \( n \), and \( (n - r)! \) is the factorial of the difference between \( n \) and \( r \).

3. **Filling in the Blank**:
Based on the formula derived, we can fill in the blank:
\[ nP_r = \frac{n!}{(n - r)!} \]

### Final Answer:
\[ nP_r = \frac{n!}{(n - r)!} \]