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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 213E (page 1213)

In the following exercises, evaluate.
(a) $(\begin{array}{l} 4 \\ 1 \end{array})$ (b) $(\begin{array}{l} 5 \\ 5 \end{array})$ (c) $(\begin{array}{l} 8 \\ 0 \end{array})$ (d) $(\begin{array}{l} 11 \\ 9 \end{array})$

Short Answer

Expert verified

(a) $4$

(b) $1$

(c) $1$

(d) $55$

Step by step solution

01

Part (a) Step 1 Given information

Evaluate $(\begin{array}{l} 4 \\ 1 \end{array})$

02

Part (a) Step 2 Solution

$\begin{array}{rcl} (\begin{array}{l} 4 \\ 1 \end{array}) & = & \frac{4!}{(4 - 1)! 路 1!} \\ = & 4 \end{array}$

03

Part (b) Step 1 Given information

Evaluate $(\begin{array}{l} 5 \\ 5 \end{array})$

04

Part (b) Step 2 Solution

$\begin{array}{rcl} (\begin{array}{l} 5 \\ 5 \end{array}) & = & \frac{5!}{(5 - 5)! 路 5!} \\ = & 1 \end{array}$

05

Part (c) Step 1 Given information

Evaluate $(\begin{array}{l} 8 \\ 0 \end{array})$

06

Part (c) Step 2 Solution

$\begin{array}{rcl} (\begin{array}{l} 8 \\ 0 \end{array}) & = & \frac{8!}{(8 - 0)! 路 0!} \\ = & 1 \end{array}$

07

Part (d) Step 1 Given information

Evaluate $(\begin{array}{l} 11 \\ 9 \end{array})$

08

Part (d) Step 2 Solution

$\begin{array}{rcl} (\begin{array}{l} 11 \\ 9 \end{array}) & = & \frac{11!}{(11 - 9)! 路 9!} \\ = & 55 \end{array}$

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