A new language uses only the letters A, B, C, D, and E. The letters A and E are called vowels, while the letters B, C and D are called consonants. A sequence of letters is called a word if it does not include the same letter twice in a row, and it does not include two vowels in a row. How many words are there in this language that are 13 letters long and that begin with a consonant?
A new language uses only the letters A, B, C, D, and E. The letters A and E are called vowels, while the letters B, C and D are called consonants. A sequence of letters is called a word if it does not include the same letter twice in a row, and it does not include two vowels in a row. How many words are there in this language that are 13 letters long and that begin with a consonant?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:A new language uses only the letters A, B, C, D, and E. The letters A and E are called vowels,
while the letters B, C and D are called consonants. A sequence of letters is called a word if
it does not include the same letter twice in a row, and it does not include two vowels in a
row. How many words are there in this language that are 13 letters long and that begin with
a consonant?
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