Consider all 5 letter “words” made from the letters a through h. (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 “aha”?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.CR: Chapter Review
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Consider all 5 letter “words” made from the letters a through h. (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 “aha”?
(d) How many of these words either start with “aha” or end with “bah” or both?
(e) How many of the words containing no repeats also do not 
contain the sub-word “bad”?

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