Suppose that a “word” is any string of five letters. Repeated letters are allowed. For our purposes, vowels are the letters a, e, i, o, and u. a) How many words are there? Note – these don’t have to be valid English words. b) How many words begin with a vowel? c) How many words have only vowels? d) How many words have no vowels? e) How many words have exactly one vowel? I have the first 3 already answered: a) Total=26×26×26×26×26=265=11881376 b) Total=5×26×26×26×26=5×264=2284880 c) Total=5×5×5×5×5=55=3125 I just need help with d) and e)
Suppose that a “word” is any string of five letters. Repeated letters are allowed. For our purposes, vowels are the letters a, e, i, o, and u. a) How many words are there? Note – these don’t have to be valid English words. b) How many words begin with a vowel? c) How many words have only vowels? d) How many words have no vowels? e) How many words have exactly one vowel? I have the first 3 already answered: a) Total=26×26×26×26×26=265=11881376 b) Total=5×26×26×26×26=5×264=2284880 c) Total=5×5×5×5×5=55=3125 I just need help with d) and e)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 70E: How many distinguishable words can be formed from the letters of the word casserole if each letter...
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Suppose that a “word” is any string of five letters. Repeated letters are allowed. For our
purposes, vowels are the letters a, e, i, o, and u.
a) How many words are there? Note – these don’t have to be valid English words.
b) How many words begin with a vowel?
c) How many words have only vowels?
d) How many words have no vowels?
e) How many words have exactly one vowel?
I have the first 3 already answered:
a) Total=26×26×26×26×26=265=11881376
b) Total=5×26×26×26×26=5×264=2284880
c) Total=5×5×5×5×5=55=3125
I just need help with d) and e)
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