Question

Use an appropriate rule of counting. Most radio stations that were licensed after 1927 have four call letters starting with $\mathrm{K}$ or $\mathrm{W}$ such as WROD. Assuming no repetitions of letters, how many four-letter sets are possible?

Name: Problem 51, Chapter 11: Intermediate Algebra
Uploaded: 2020-06-27T11:26:18-08:00
Duration: 1 min 5 s
Channel: Ankit Gupta
Description: Use an appropriate rule of counting. Most radio stations that were licensed after 1927 have four call letters starting with K or W such as WROD. Assuming no repetitions of letters, how many four-letter sets are possible?

   Use an appropriate rule of counting.
Most radio stations that were licensed after 1927 have four call letters starting with $\mathrm{K}$ or $\mathrm{W}$ such as WROD. Assuming no repetitions of letters, how many four-letter sets are possible?

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 11, Problem 51

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Solved by Expert Ankit Gupta

06/27/2020

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Use an appropriate rule of counting. Most radio stations that were licensed after 1927 have four call letters starting with $\mathrm{K}$ or $\mathrm{W}$ such as WROD. Assuming no repetitions of letters, how many four-letter sets are possible?

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Key Concepts

Multiplication Principle

This principle states that if a task is composed of multiple independent steps, the total number of ways to complete the task is the product of the number of ways each step can be performed. It is fundamental in counting problems where each decision in a sequence influences the final outcome.

Permutations Without Repetition

A permutation is an arrangement of objects in a specific order. When objects cannot be repeated in an arrangement, the number of possible permutations is found by multiplying choices that decrease sequentially as spots are filled. This concept is key in problems where order matters and repetition is not allowed.

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