Question

How many strings of six letters are there?

   How many strings of six letters are there?

Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

Kenneth Rosen 8th Edition

Chapter 6, Problem 3

Instant Answer

Solved by Expert Clarissa Noh

11/10/2019

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The order of the letters matters and repetition is allowed. Show more…

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How many strings of six letters are there?

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Key Concepts

Multiplicative Principle

This principle states that if an event can occur in a number of ways and another independent event can occur in another number of ways, then the total number of outcomes is the product of the number of ways each individual event can occur. In the context of creating strings of letters, selecting each letter is an independent event, and the total number of combinations is found by multiplying the number of choices for each letter position.

Permutations with Repetition

This concept applies when the same item or character can be chosen more than once for each position in a sequence. When forming strings of letters where letters can be repeated, each position in the string is selected from the same set of options, and the total number of strings is given by raising the number of available letters to the power of the string's length.

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