   Chapter 14.CR, Problem 12E ### 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.License Plates The Yukon Territory in Canada uses a license-plate system for automobiles that consists of two letters followed by three numbers. Explain how we can know that fewer than 700,000 autos are licensed in the Yukon.

To determine

To explain:

That fewer than 700,000 autos are licensed in the Yukon.

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:

The choices for the first place is 26, so n1 is 26. The choices for the second place is 26, so n2 is 26. The choices for the third place is 10, so n3 is 10. The choices for the fourth place is 10, so n4 is 10. The choices for the fifth place is 10, so n5 is 10

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