   Chapter 14.CR, Problem 6E ### 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.Test Questions A test has ten true-false questions and five multiple-choice questions with four choices for each. In how many ways can this test be completed?

To determine

To find:

The number of ways the test can be completed.

Explanation

Approach:

Fundamental counting principle:

If E1, E2 …. Ek are events that occur in order and if event Ei can occur in ni ways (i=1,2......,k). Then the sequence of events can occur in order in n1×n2×......×nk ways.

Calculation:

Consider ten true false given in the question. The answer for the true false can be given in two ways that is “yes” or “no”. so the number of ways true false is solved as,

n1=210

Similarly for five multiple choice question with four options

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