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We want to build 13 letter “words" using only the first n = 9 letters of the alphabet. For example, if n = 5 we can use the first 5 letters, {a, b, c, d, e} (Recall, words are just strings of letters, not necessarily actual English words.) a. How many of these words are there total? b. How many of these words contain no repeated letters? c. How many of these words start with the sub-word “ade"? d. How many of these words either start with “ade" or end with “be" or both? e. How many of the words containing no repeats also do not contain the sub-word “bed"?

We want to build 13 letter “words" using only the first n = 9 letters of the alphabet. For example, if n = 5 we can use the first 5 letters, {a, b, c, d, e} (Recall, words are just strings of letters, not necessarily actual English words.) a. How many of these words are there total? b. How many of these words contain no repeated letters? c. How many of these words start with the sub-word “ade"? d. How many of these words either start with “ade" or end with “be" or both? e. How many of the words containing no repeats also do not contain the sub-word “bed"?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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We want to build 13 letter “words" using only the first n = 9 letters of the alphabet. For example, if n = 5 we can use the first 5 letters, {a, b, c, d, e} (Recall, words are just strings of letters, not necessarily actual English words.) a. How many of these words are there total? b. How many of these words contain no repeated letters? c. How many of these words start with the sub-word “ade"? d. How many of these words either start with “ade" or end with "be" or both? e. How many of the words containing no repeats also do not contain the sub-word “bed"?
Transcribed Image Text:We want to build 13 letter “words" using only the first n = 9 letters of the alphabet. For example, if n = 5 we can use the first 5 letters, {a, b, c, d, e} (Recall, words are just strings of letters, not necessarily actual English words.) a. How many of these words are there total? b. How many of these words contain no repeated letters? c. How many of these words start with the sub-word “ade"? d. How many of these words either start with “ade" or end with "be" or both? e. How many of the words containing no repeats also do not contain the sub-word “bed"?
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