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Concept explainers
True or False If a task consists of a sequence of three choices in which there are p selections for the first choice, q selections for the second choice, and r selections for the third choice, then the task of making these selections can be done in p · q ·r different ways.
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To write: Whether the following statement is true or not. If a task consists of a sequence of three choices in which there are selections for the first choice, selections for the second choice, and selections for the third choice, then the task of making these selections can be done in different ways.
Answer to Problem 8AYU
True.
Explanation of Solution
Given:
The sets and .
As per Multiplication Principle of Counting.
If a task consists of a sequence of choices in which there are selections for the first choice, selections for the second choice, selections for the third choice, and so on, the task of making these selections can be done in ... different ways.
Hence, the statement “If a task consists of a sequence of three choices in which there are selections for the first choice, selections for the second choice, and selections for the third choice, then the task of making these selections can be done in different ways” is true.
Chapter 13 Solutions
Precalculus Enhanced with Graphing Utilities
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