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Q. 6

Expert-verified
Found in: Page 854

Precalculus Enhanced with Graphing Utilities

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

$C\left(n,r\right)=______$

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

See the step by step solution

Step 1. Given information.

The given statement is:

$C\left(n,r\right)=_______$

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 not important.

is given by the formula:

$C\left(n,r\right)=\frac{n!}{\left(n-r\right)!r!}$

Step 3. Conclusion.

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