   Chapter 14.CR, Problem 5E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 1-24 ■ Counting These exercises involve counting.Quiz Questions A quiz has ten true-false questions. In how many different ways can a student earn a score of exactly 70 % on this quiz?

To determine

To find:

The total number of ways to earn a score of exactly 70% on the quiz.

Explanation

Given:

The total true-false questions are 10.

Approach:

If a set has n objects, then the number of ways of ordering the r elements subset of the set is denoted P(n,r) and is called the number of permutation of n objects taken r at a time and given by,

P(n,r)=n!(nr)!

Calculation:

Calculate the total number of ways to earn a score of exactly 70% on this quiz.

Substitute 10 for n, and 7 for r in the above formula.

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