a) that contain no vowels, if letters can be repeated? b) that contain no vowels, if letters cannot be repeated? c) that start with a vowel, if letters can be repeated? d) that start with a vowel, if letters cannot be repeated? e) that contain at least one vowel, if letters can be re- peated? f) that contain exactly one vowel, if letters can be re- peated? g) that start with X and contain at least one vowel, if letters can be repeated? h) that start and end with X and contain at least one vowel, if letters can be repeated?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
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Question
How many strings of eight English letters are there
a) that contain no vowels, if letters can be repeated?
b) that contain no vowels, if letters cannot be repeated?
c) that start with a vowel, if letters can be repeated?
d) that start with a vowel, if letters cannot be repeated?
e) that contain at least one vowel, if letters can be re-
peated?
f) that contain exactly one vowel, if letters can be re-
peated?
g) that start with X and contain at least one vowel, if
letters can be repeated?
h) that start and end with X and contain at least one
vowel, if letters can be repeated?
Transcribed Image Text:How many strings of eight English letters are there a) that contain no vowels, if letters can be repeated? b) that contain no vowels, if letters cannot be repeated? c) that start with a vowel, if letters can be repeated? d) that start with a vowel, if letters cannot be repeated? e) that contain at least one vowel, if letters can be re- peated? f) that contain exactly one vowel, if letters can be re- peated? g) that start with X and contain at least one vowel, if letters can be repeated? h) that start and end with X and contain at least one vowel, if letters can be repeated?
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