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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

DISCUSS: Pair of Initials Explain why in any group of 677 people, at least two people must have the same pair of initials.

To determine

To explain:

The reason that in a group of 677 people, at least two people have the same pair of initials.

Explanation

Given:

The group of 677 people.

Approach:

The Fundamental Counting Principle: let there be two events in order. If the first event can be in p ways and the second event can be in q ways then the two events can be in order in p×q ways.

Calculation:

First calculate the all different possible ways to form the pair of initials. As each initial is taken from the English letters, also the pair of initials selected from it.

The first initial pair is selected in 26 different ways, and the second initial pair is selected in 26 different ways

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Chapter 14 Solutions

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