12. 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"? ► Solution. Activate
12. 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"? ► Solution. Activate
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please solve question 12 sub-questions d and e. Thanks
![Index
11. Let A, B, and C be sets.
a.
Find |(AUC) B| provided |A| = 50, |B| = 45, |C| = 40, |An B| = 20,
|AnC| = 15, |BC| = 23, and An BnC| = 12.
b. Describe a set in terms of A, B, and C with cardinality 26.
► Hint.
12.
Consider all 5 letter "words" made from the letters a through h. (Recall,
words are just strings of letters, not necessarily actual English words.)
S
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?
► Solution.
Activate
< Prev
e. How many of the words containing no repeats also do not contain the
sub-word "bad"?
Q Search
D
A Up M
L
- e
SAMSUNG](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776b96d1-5504-49ae-9931-aa9e44a48974%2F7feab7ba-e6b0-4588-8730-50943a697b59%2Fvssfzxo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Index
11. Let A, B, and C be sets.
a.
Find |(AUC) B| provided |A| = 50, |B| = 45, |C| = 40, |An B| = 20,
|AnC| = 15, |BC| = 23, and An BnC| = 12.
b. Describe a set in terms of A, B, and C with cardinality 26.
► Hint.
12.
Consider all 5 letter "words" made from the letters a through h. (Recall,
words are just strings of letters, not necessarily actual English words.)
S
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?
► Solution.
Activate
< Prev
e. How many of the words containing no repeats also do not contain the
sub-word "bad"?
Q Search
D
A Up M
L
- e
SAMSUNG
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