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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

The value of the given number

The value of the given number

Algebra and Trigonometry: Structure and Method, Book 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

Chapter 15.7, Problem 1ST

To determine

To evaluate:

The value of the given number

Expert Solution & Answer

Answer to Problem 1ST

The value of given operation is 5C3=10

Explanation of Solution

Given:

The order of operation

5C3

Concept used:

Using by the formula of the permutation

nCr=n!r!(n−r)!

Calculation:

The order of operation

5C3 ......................(1)

Using by the formula in equation (1)

5C3=5!3!(5−3)!5C3=5!3!(2)!5C3=5×4×3!2!3!5C3=5×42!5C3=10

Therefore,

The value of given operation is 5C3=10

Chapter 15.7, Problem 5CE

Chapter 15.7, Problem 2ST

Chapter 15 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 15.1 - Prob. 1OE Ch. 15.1 - Prob. 2OE Ch. 15.1 - Prob. 3OE Ch. 15.1 - Prob. 4OE Ch. 15.1 - Prob. 5OE Ch. 15.1 - Prob. 6OE Ch. 15.1 - Prob. 7OE Ch. 15.1 - Prob. 8OE Ch. 15.1 - Prob. 1WE Ch. 15.1 - Prob. 2WE

Ch. 15.1 - Prob. 3WE Ch. 15.1 - Prob. 4WE Ch. 15.1 - Prob. 5WE Ch. 15.1 - Prob. 6WE Ch. 15.1 - Prob. 7WE Ch. 15.1 - Prob. 8WE Ch. 15.1 - Prob. 9WE Ch. 15.1 - Prob. 10WE Ch. 15.1 - Prob. 11WE Ch. 15.1 - Prob. 12WE Ch. 15.1 - Prob. 13WE Ch. 15.1 - Prob. 14WE Ch. 15.1 - Prob. 15WE Ch. 15.1 - Prob. 16WE Ch. 15.1 - Prob. 17WE Ch. 15.1 - Prob. 18WE Ch. 15.1 - Prob. 1MRE Ch. 15.1 - Prob. 2MRE Ch. 15.1 - Prob. 3MRE Ch. 15.1 - Prob. 4MRE Ch. 15.1 - Prob. 5MRE Ch. 15.1 - Prob. 6MRE Ch. 15.2 - Prob. 1OE Ch. 15.2 - Prob. 2OE Ch. 15.2 - Prob. 3OE Ch. 15.2 - Prob. 4OE Ch. 15.2 - Prob. 5OE Ch. 15.2 - Prob. 6OE Ch. 15.2 - Prob. 7OE Ch. 15.2 - Prob. 8OE Ch. 15.2 - Prob. 9OE Ch. 15.2 - Prob. 10OE Ch. 15.2 - Prob. 11OE Ch. 15.2 - Prob. 12OE Ch. 15.2 - Prob. 13OE Ch. 15.2 - Prob. 14OE Ch. 15.2 - Prob. 1WE Ch. 15.2 - Prob. 2WE Ch. 15.2 - Prob. 3WE Ch. 15.2 - Prob. 4WE Ch. 15.2 - Prob. 5WE Ch. 15.2 - Prob. 6WE Ch. 15.2 - Prob. 7WE Ch. 15.2 - Prob. 8WE Ch. 15.2 - Prob. 9WE Ch. 15.2 - Prob. 10WE Ch. 15.2 - Prob. 11WE Ch. 15.2 - Prob. 12WE Ch. 15.2 - Prob. 13WE Ch. 15.2 - Prob. 14WE Ch. 15.2 - Prob. 15WE Ch. 15.2 - Prob. 16WE Ch. 15.2 - Prob. 17WE Ch. 15.2 - Prob. 18WE Ch. 15.2 - Prob. 19WE Ch. 15.2 - Prob. 20WE Ch. 15.3 - Prob. 1OE Ch. 15.3 - Prob. 2OE Ch. 15.3 - Prob. 3OE Ch. 15.3 - Prob. 4OE Ch. 15.3 - Prob. 5OE Ch. 15.3 - Prob. 6OE Ch. 15.3 - Prob. 1WE Ch. 15.3 - Prob. 2WE Ch. 15.3 - Prob. 3WE Ch. 15.3 - Prob. 4WE Ch. 15.3 - Prob. 5WE Ch. 15.3 - Prob. 6WE Ch. 15.3 - Prob. 7WE Ch. 15.3 - Prob. 8WE Ch. 15.3 - Prob. 9WE Ch. 15.3 - Prob. 10WE Ch. 15.3 - Prob. 11WE Ch. 15.3 - Prob. 12WE Ch. 15.3 - Prob. 1MRE Ch. 15.3 - Prob. 2MRE Ch. 15.3 - Prob. 3MRE Ch. 15.3 - Prob. 4MRE Ch. 15.3 - Prob. 5MRE Ch. 15.3 - Prob. 6MRE Ch. 15.4 - Prob. 1OE Ch. 15.4 - Prob. 2OE Ch. 15.4 - Prob. 3OE Ch. 15.4 - Prob. 1WE Ch. 15.4 - Prob. 2WE Ch. 15.4 - Prob. 3WE Ch. 15.4 - Prob. 4WE Ch. 15.4 - Prob. 5WE Ch. 15.4 - Prob. 6WE Ch. 15.4 - Prob. 7WE Ch. 15.4 - Prob. 8WE Ch. 15.4 - Prob. 9WE Ch. 15.4 - Prob. 10WE Ch. 15.4 - Prob. 11WE Ch. 15.4 - Prob. 12WE Ch. 15.4 - Prob. 13WE Ch. 15.4 - Prob. 1ST Ch. 15.4 - Prob. 2ST Ch. 15.4 - Prob. 3ST Ch. 15.4 - Prob. 4ST Ch. 15.4 - Prob. 5ST Ch. 15.4 - Prob. 6ST Ch. 15.5 - Prob. 1OE Ch. 15.5 - Prob. 2OE Ch. 15.5 - Prob. 3OE Ch. 15.5 - Prob. 4OE Ch. 15.5 - Prob. 1WE Ch. 15.5 - Prob. 2WE Ch. 15.5 - Prob. 3WE Ch. 15.5 - Prob. 4WE Ch. 15.5 - Prob. 5WE Ch. 15.5 - Prob. 6WE Ch. 15.5 - Prob. 7WE Ch. 15.5 - Prob. 8WE Ch. 15.5 - Prob. 9WE Ch. 15.5 - Prob. 10WE Ch. 15.5 - Prob. 11WE Ch. 15.5 - Prob. 12WE Ch. 15.5 - Prob. 13WE Ch. 15.5 - Prob. 14WE Ch. 15.5 - Prob. 15WE Ch. 15.5 - Prob. 16WE Ch. 15.5 - Prob. 17WE Ch. 15.5 - Prob. 18WE Ch. 15.5 - Prob. 19WE Ch. 15.5 - Prob. 20WE Ch. 15.5 - Prob. 1MRE Ch. 15.5 - Prob. 2MRE Ch. 15.5 - Prob. 3MRE Ch. 15.5 - Prob. 4MRE Ch. 15.5 - Prob. 5MRE Ch. 15.5 - Prob. 6MRE Ch. 15.5 - Prob. 7MRE Ch. 15.5 - Prob. 8MRE Ch. 15.6 - Prob. 1OE Ch. 15.6 - Prob. 2OE Ch. 15.6 - Prob. 3OE Ch. 15.6 - Prob. 4OE Ch. 15.6 - Prob. 5OE Ch. 15.6 - Prob. 6OE Ch. 15.6 - Prob. 7OE Ch. 15.6 - Prob. 8OE Ch. 15.6 - Prob. 9OE Ch. 15.6 - Prob. 10OE Ch. 15.6 - Prob. 11OE Ch. 15.6 - Prob. 12OE Ch. 15.6 - Prob. 1WE Ch. 15.6 - Prob. 2WE Ch. 15.6 - Prob. 3WE Ch. 15.6 - Prob. 4WE Ch. 15.6 - Prob. 5WE Ch. 15.6 - Prob. 6WE Ch. 15.6 - Prob. 7WE Ch. 15.6 - Prob. 8WE Ch. 15.6 - Prob. 9WE Ch. 15.6 - Prob. 10WE Ch. 15.6 - Prob. 11WE Ch. 15.6 - Prob. 12WE Ch. 15.6 - Prob. 13WE Ch. 15.6 - Prob. 14WE Ch. 15.6 - Prob. 15WE Ch. 15.6 - Prob. 16WE Ch. 15.6 - Prob. 17WE Ch. 15.6 - Prob. 18WE Ch. 15.6 - Prob. 19WE Ch. 15.6 - Prob. 20WE Ch. 15.6 - Prob. 21WE Ch. 15.6 - Prob. 22WE Ch. 15.6 - Prob. 23WE Ch. 15.6 - Prob. 24WE Ch. 15.6 - Prob. 25WE Ch. 15.6 - Prob. 26WE Ch. 15.6 - Prob. 27WE Ch. 15.6 - Prob. 28WE Ch. 15.6 - Prob. 29WE Ch. 15.6 - Prob. 30WE Ch. 15.6 - Prob. 31WE Ch. 15.7 - Prob. 1OE Ch. 15.7 - Prob. 2OE Ch. 15.7 - Prob. 3OE Ch. 15.7 - Prob. 4OE Ch. 15.7 - Prob. 5OE Ch. 15.7 - Prob. 6OE Ch. 15.7 - Prob. 7OE Ch. 15.7 - Prob. 1WE Ch. 15.7 - Prob. 2WE Ch. 15.7 - Prob. 3WE Ch. 15.7 - Prob. 4WE Ch. 15.7 - Prob. 5WE Ch. 15.7 - Prob. 6WE Ch. 15.7 - Prob. 7WE Ch. 15.7 - Prob. 8WE Ch. 15.7 - Prob. 9WE Ch. 15.7 - Prob. 10WE Ch. 15.7 - Prob. 11WE Ch. 15.7 - Prob. 12WE Ch. 15.7 - Prob. 13WE Ch. 15.7 - Prob. 14WE Ch. 15.7 - Prob. 15WE Ch. 15.7 - Prob. 16WE Ch. 15.7 - Prob. 17WE Ch. 15.7 - Prob. 18WE Ch. 15.7 - Prob. 19WE Ch. 15.7 - Prob. 20WE Ch. 15.7 - Prob. 21WE Ch. 15.7 - Prob. 22WE Ch. 15.7 - Prob. 23WE Ch. 15.7 - Prob. 24WE Ch. 15.7 - Prob. 25WE Ch. 15.7 - Prob. 26WE Ch. 15.7 - Prob. 27WE Ch. 15.7 - Prob. 28WE Ch. 15.7 - Prob. 29WE Ch. 15.7 - Prob. 30WE Ch. 15.7 - Prob. 1MRE Ch. 15.7 - Prob. 2MRE Ch. 15.7 - Prob. 3MRE Ch. 15.7 - Prob. 4MRE Ch. 15.7 - Prob. 5MRE Ch. 15.7 - Prob. 6MRE Ch. 15.7 - Prob. 7MRE Ch. 15.7 - Prob. 8MRE Ch. 15.7 - Prob. 9MRE Ch. 15.7 - Prob. 10MRE Ch. 15.7 - Prob. 11MRE Ch. 15.7 - Prob. 12MRE Ch. 15.7 - Prob. 1CE Ch. 15.7 - Prob. 2CE Ch. 15.7 - Prob. 3CE Ch. 15.7 - Prob. 4CE Ch. 15.7 - Prob. 5CE Ch. 15.7 - Prob. 1ST Ch. 15.7 - Prob. 2ST Ch. 15.7 - Prob. 3ST Ch. 15.7 - Prob. 4ST Ch. 15.7 - Prob. 5ST Ch. 15.7 - Prob. 6ST Ch. 15.8 - Prob. 1OE Ch. 15.8 - Prob. 2OE Ch. 15.8 - Prob. 1WE Ch. 15.8 - Prob. 2WE Ch. 15.8 - Prob. 3WE Ch. 15.8 - Prob. 4WE Ch. 15.8 - Prob. 5WE Ch. 15.8 - Prob. 6WE Ch. 15.8 - Prob. 7WE Ch. 15.8 - Prob. 8WE Ch. 15.8 - Prob. 9WE Ch. 15.8 - Prob. 10WE Ch. 15.8 - Prob. 11WE Ch. 15.8 - Prob. 12WE Ch. 15.8 - Prob. 13WE Ch. 15.8 - Prob. 14WE Ch. 15.8 - Prob. 15WE Ch. 15.8 - Prob. 16WE Ch. 15.9 - Prob. 1OE Ch. 15.9 - Prob. 2OE Ch. 15.9 - Prob. 3OE Ch. 15.9 - Prob. 4OE Ch. 15.9 - Prob. 5OE Ch. 15.9 - Prob. 6OE Ch. 15.9 - Prob. 7OE Ch. 15.9 - Prob. 8OE Ch. 15.9 - Prob. 9OE Ch. 15.9 - Prob. 10OE Ch. 15.9 - Prob. 11OE Ch. 15.9 - Prob. 1WE Ch. 15.9 - Prob. 2WE Ch. 15.9 - Prob. 3WE Ch. 15.9 - Prob. 4WE Ch. 15.9 - Prob. 5WE Ch. 15.9 - Prob. 6WE Ch. 15.9 - Prob. 7WE Ch. 15.9 - Prob. 8WE Ch. 15.9 - Prob. 9WE Ch. 15.9 - Prob. 10WE Ch. 15.9 - Prob. 11WE Ch. 15.9 - Prob. 12WE Ch. 15.9 - Prob. 13WE Ch. 15.9 - Prob. 14WE Ch. 15.9 - Prob. 1MRE Ch. 15.9 - Prob. 2MRE Ch. 15.9 - Prob. 3MRE Ch. 15.9 - Prob. 4MRE Ch. 15.9 - Prob. 5MRE Ch. 15.9 - Prob. 6MRE Ch. 15.9 - Prob. 7MRE Ch. 15.9 - Prob. 8MRE Ch. 15.9 - Prob. 1CE Ch. 15.9 - Prob. 2CE Ch. 15.9 - Prob. 3CE Ch. 15.9 - Prob. 4CE Ch. 15.9 - Prob. 5CE Ch. 15.9 - Prob. 6CE Ch. 15.9 - Prob. 1.1E Ch. 15.9 - Prob. 1.2E Ch. 15.9 - Prob. 1.3E Ch. 15.9 - Prob. 1.4E Ch. 15.9 - Prob. 1.5E Ch. 15.9 - Prob. 1.6E Ch. 15.9 - Prob. 2.1E Ch. 15.9 - Prob. 2.2E Ch. 15.9 - Prob. 2.3E Ch. 15.9 - Prob. 2.4E Ch. 15.9 - Prob. 2.5E Ch. 15.9 - Prob. 2.6E Ch. 15.9 - Prob. 2.7E Ch. 15.9 - Prob. 2.8E Ch. 15.10 - Prob. 1OE Ch. 15.10 - Prob. 2OE Ch. 15.10 - Prob. 3OE Ch. 15.10 - Prob. 4OE Ch. 15.10 - Prob. 5OE Ch. 15.10 - Prob. 1WE Ch. 15.10 - Prob. 2WE Ch. 15.10 - Prob. 3WE Ch. 15.10 - Prob. 4WE Ch. 15.10 - Prob. 5WE Ch. 15.10 - Prob. 6WE Ch. 15.10 - Prob. 7WE Ch. 15.10 - Prob. 8WE Ch. 15.10 - Prob. 9WE Ch. 15.10 - Prob. 10WE Ch. 15.10 - Prob. 11WE Ch. 15.10 - Prob. 12WE Ch. 15.10 - Prob. 13WE Ch. 15.10 - Prob. 14WE Ch. 15.10 - Prob. 15WE Ch. 15.10 - Prob. 16WE Ch. 15.10 - Prob. 17WE Ch. 15.10 - Prob. 1ST Ch. 15.10 - Prob. 2ST Ch. 15.10 - Prob. 3ST Ch. 15.10 - Prob. 1E Ch. 15.10 - Prob. 2E Ch. 15 - Prob. 1CR Ch. 15 - Prob. 2CR Ch. 15 - Prob. 3CR Ch. 15 - Prob. 4CR Ch. 15 - Prob. 5CR Ch. 15 - Prob. 6CR Ch. 15 - Prob. 7CR Ch. 15 - Prob. 8CR Ch. 15 - Prob. 9CR Ch. 15 - Prob. 10CR Ch. 15 - Prob. 11CR Ch. 15 - Prob. 12CR Ch. 15 - Prob. 1CT Ch. 15 - Prob. 2CT Ch. 15 - Prob. 3CT Ch. 15 - Prob. 4CT Ch. 15 - Prob. 5CT Ch. 15 - Prob. 6CT Ch. 15 - Prob. 7CT Ch. 15 - Prob. 8CT Ch. 15 - Prob. 9CT Ch. 15 - Prob. 10CT Ch. 15 - Prob. 11CT

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