Q. 307 In the following exercises ,eval... [FREE SOLUTION]

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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. 307 (page 1220)

In the following exercises ,evaluate
a. $(\begin{array}{l} 11 \\ 1 \end{array})$
b. $(\begin{array}{l} 12 \\ 12 \end{array})$
c. $(\begin{array}{l} 13 \\ 0 \end{array})$
d. $(\begin{array}{l} 8 \\ 3 \end{array})$

Short Answer

Expert verified

The value is $11, 1, 0, 56$ respectively

Step by step solution

Part (a) Step 1. Given information

Given the binomial coefficient $(\begin{array}{l} 11 \\ 1 \end{array})$

Part (a) Step 2: Calculate using the formula

Calculating, we get

$(\begin{array}{l} n \\ r \end{array}) = \frac{n!}{r! (n - r)!} (\begin{array}{l} 11 \\ 1 \end{array}) = \frac{11!}{1! (11 - 1)!} (\begin{array}{l} 11 \\ 1 \end{array}) = \frac{11!}{1 脳 10!} (\begin{array}{l} 11 \\ 1 \end{array}) = \frac{11 脳 10!}{1 脳 10!} (\begin{array}{l} 11 \\ 1 \end{array}) = 11$

Part (b) Step 1: Given information

Given the binomial coefficient $(\begin{array}{l} 12 \\ 12 \end{array})$

Part (b) Step 2: Calculating using the formula

Calculating, we get

$(\begin{array}{l} n \\ n \end{array}) = 1 (\begin{array}{l} 12 \\ 12 \end{array}) = 1$

Part (c) Step 1: Given information

Given the binomial coefficient $(\begin{array}{l} 13 \\ 0 \end{array})$

Part (c) Step 2: Calculate using the formula

Calculating, we get

$(\begin{array}{l} n \\ 0 \end{array}) = 1 (\begin{array}{l} n \\ 0 \end{array}) = 1 (\begin{array}{l} 13 \\ 0 \end{array}) = 1$

Part (d) Step 1: Given information

Given the binomial coefficient $(\begin{array}{l} 8 \\ 3 \end{array})$

Part (d) Step 2: Calculate using the formula

Calculating, we get

$(\begin{array}{l} n \\ r \end{array}) = \frac{n!}{r! (n - r)!} (\begin{array}{l} 8 \\ 3 \end{array}) = \frac{8!}{8! (8 - 3)!} (\begin{array}{l} 8 \\ 3 \end{array}) = \frac{8!}{3! 脳 5!} (\begin{array}{l} 8 \\ 3 \end{array}) = \frac{8 脳 7 脳 6 脳 5 脳 4 脳 3!}{3! 脳 5!} (\begin{array}{l} 8 \\ 3 \end{array}) = 56$

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91影视

In the following exercises ,evaluate
a. $(\begin{array}{l} 11 \\ 1 \end{array})$
b. $(\begin{array}{l} 12 \\ 12 \end{array})$
c. $(\begin{array}{l} 13 \\ 0 \end{array})$
d. $(\begin{array}{l} 8 \\ 3 \end{array})$

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2: Calculate using the formula

Part (b) Step 1: Given information

Part (b) Step 2: Calculating using the formula

Part (c) Step 1: Given information

Part (c) Step 2: Calculate using the formula

Part (d) Step 1: Given information

Part (d) Step 2: Calculate using the formula

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91影视

In the following exercises ,evaluatea.111b.1212c.130d.83

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2: Calculate using the formula

Part (b) Step 1: Given information

Part (b) Step 2: Calculating using the formula

Part (c) Step 1: Given information

Part (c) Step 2: Calculate using the formula

Part (d) Step 1: Given information

Part (d) Step 2: Calculate using the formula

One App. One Place for Learning.

Most popular questions from this chapter

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Logic and Functions

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Study anywhere. Anytime. Across all devices.

In the following exercises ,evaluate
a. $(\begin{array}{l} 11 \\ 1 \end{array})$
b. $(\begin{array}{l} 12 \\ 12 \end{array})$
c. $(\begin{array}{l} 13 \\ 0 \end{array})$
d. $(\begin{array}{l} 8 \\ 3 \end{array})$