Question

$P(n,r)=\_\_\_\_\_\_$

Short answer

The complete statement is$P(n,r)=\frac{n!}{(n-r)!}$.

Step-by-step solution

Step 1. Given information.

The given statement is:

$P(n,r)=\_\_\_\_\_\_$

Step 2. Determine the value for the blank.

The number of arrangements of $n$objects using $r\le n$of them, in which

• The $n$objects are distinct.
• Once an object is used it cannot be repeated,
• Order is important.

is given by the formula:

$P(n,r)=\frac{n!}{(n-r)!}$

Step 3. Conclusion.

The complete statement is $P(n,r)=\frac{n!}{(n-r)!}$.