Question

Use the formula $C(n,r)=\frac{n!}{(n-r)!r!}$to find the value of each combination.

$C(18,1)$

Short answer

The value of the given combination is 18.

Step-by-step solution

Step 1. Given information.

The given combination is $C(18,1)$.

Step 2. Determine the value of the given combination.

Using the formula, the given combination can be written as:

$\begin{array}{rcl}C(18,1)& =& \frac{18!}{(18-1)!1!}\\ & =& \frac{18!}{17!1!}\\ & =& \frac{18\times 17!}{17!\times 1}\\ & =& 18\end{array}$

Step 3. Conclusion.

The value of the given combination is 18.