/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 20 How many different four-letter r... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 20

How many different four-letter radio station call letters can be formed if the first letter must be W or K?

Short Answer

Expert verified
There are 35152 different four-letter call letters that can be formed.

Step by step solution

01

Identify the number of possibilities for each slot

For the first slot we only have 2 possibilities: W or K. For each of the remaining slots, we have 26 possibilities because each of them can be any of the 26 letters in the alphabet. So, the slots are as follows: Slot 1: 2 possibilities, Slot 2: 26 possibilities, Slot 3: 26 possibilities, Slot 4: 26 possibilities.
02

Calculate the total number of combinations

The number of combinations is given by the product of the number of possibilities for each slot. Therefore, the total number of combinations is 2*26*26*26.
03

Compute the numerical result

Do the mathematical computation to get the result. Therefore, the solution to the problem is given by calculating the value of 2*26*26*26 = 35152.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Of the 38 plays attributed to Shakespeare, 18 are comedies, 10 are tragedies, and 10 are histories. In Exercises 79-86, one play is randomly selected from Shakespeare's 38 plays. Find the odds against selecting a comedy.

I used the Fundamental Counting Principle to determine the number of permutations of the letters of the word ENGLISH.

A die is rolled. The set of equally likely outcomes is \(\\{1,2,3,4,5,6\\}\). Find the probability of rolling a \(5 .\)

Evaluate each factorial expression. \(\frac{600 !}{599 !}\)

Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that a. Comic E will perform first. b. Comic C will perform fifth and comic B will perform last. c. The comedians will perform in the following order: D, E, \(\mathrm{C}, \mathrm{A}, \mathrm{B}, \mathrm{F}\). d. Comic A or comic B will perform first.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

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.