Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 13: Q. 32 (page 855)

Forming Codes How many two-letter codes can be formed using the letter A, B, C, D, and E? Repeated letters are allowed.

Short Answer

Expert verified

There are 25 ways to write a two-letter code.

Step by step solution

01

Step 1. Given information.

Two-letter code is to be formed using the letter A, B, C, D, and E.

Repeated letters are allowed.

02

Step 2. Determine the possible number of codes.

We are choosing 2 letters from 5 letters and arranging them in order. In the ordered arrangement a letter may be repeated.

This is an example of a permutation with repetition in which 2 objects are chosen from 5 distinct objects.

Each selection has 5 choices. By the Multiplication Principle, we get

5·5=25

03

Step 3. Conclusion.

There are 25 ways to write a two-letter code.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

On the “Price is Right” there is a game in which a bag is filled with 3 strike chips and 5 numbers. Let’s say that the numbers in the bag are 0, 1, 3, 6, and 9. What is the probability of selecting a strike chip or the number 1?

IfP(B)=0.30,P(A∪B)=0.65andP(A∩B)=0.15,findP(A)

In a probability model, which of the following numbers could be the probability of an outcome?

1.5,12,34,23,0,-14

Through observation, it has been determined that the probability for a given number of people waiting in line at the “5 items or less” checkout register of a supermarket is as follows:

Find the probability of:

(a) At most 2 people in line

(b) At least 2 people in line

(c) At least 1 person in line

List all the ordered arrangements of 5 objects a,b,c,d, and echoosing 3 at a time without repetition. What isP(5,3)?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free