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Q. 19

Expert-verified
Found in: Page 855

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Use the formula $C\left(n,r\right)=\frac{n!}{\left(n-r\right)!r!}$ to find the value of each combination.$C\left(15,15\right)$

The value of the given combination is 1.

See the step by step solution

## Step 1. Given information.

The given combination is $C\left(15,15\right)$.

## Step 2. Determine the value of the given combination.

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

$\begin{array}{rcl}C\left(15,15\right)& =& \frac{15!}{\left(15-15\right)!15!}\\ & =& \frac{15!}{0!15!}\\ & =& \frac{15!}{1×15!}\\ & =& 1\end{array}$

## Step 3. Conclusion.

The value of the given combination is 1.