10. Secret Code Word How many 4-letter code words can be made using the letters in the word pencil if repetitions are permitted? If repetitions are not permitted? 11. Passwords Given the characters A, B, C, H, I, T, U, V, 1, 2, 3, and 4, how many seven-character passwords can be made? (No repeats are allowed.) How many if you have to use all four numbers as the first four characters in the password? 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z. How many different trips can be made from city X to city Z, passing through city Y? 13. Evaluate each expression. e. 6Р4 i. 9P2 а. 11! f. 12PS b. 9! j. 11P3 g. 7P7 h. 4Po с. 0! d. 1! 14. Evaluate each expression. е. 9Ро а. 6! f. 11P4 b. 11! g. sPo h. 10P2 С. 2! d. 9! Car Strines How many different 4-colorco mont

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
Section8.6: Permutations And Combinations
Problem 57E
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Related questions
Question
10. Secret Code Word How many 4-letter code words can
be made using the letters in the word pencil if repetitions
are permitted? If repetitions are not permitted?
11. Passwords Given the characters A, B, C, H, I, T, U, V,
1, 2, 3, and 4, how many seven-character passwords can
be made? (No repeats are allowed.) How many if
you
have to use all four numbers as the first four characters
in the
password?
12. Automobile Trips There are 2 major roads from city
X to city Y and 4 major roads from city Y to city Z.
How many different trips can be made from city X to
city Z, passing through city Y?
13. Evaluate each expression.
e. 6Р4
i. 9P2
а. 11!
f. 12PS
b. 9!
j. 11P3
g. 7P7
h. 4Po
с. 0!
d. 1!
14. Evaluate each expression.
е. 9Ро
а. 6!
f. 11P4
b. 11!
g. sPo
h. 10P2
С. 2!
d. 9!
Car Strines How many different 4-colorco
mont
Transcribed Image Text:10. Secret Code Word How many 4-letter code words can be made using the letters in the word pencil if repetitions are permitted? If repetitions are not permitted? 11. Passwords Given the characters A, B, C, H, I, T, U, V, 1, 2, 3, and 4, how many seven-character passwords can be made? (No repeats are allowed.) How many if you have to use all four numbers as the first four characters in the password? 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z. How many different trips can be made from city X to city Z, passing through city Y? 13. Evaluate each expression. e. 6Р4 i. 9P2 а. 11! f. 12PS b. 9! j. 11P3 g. 7P7 h. 4Po с. 0! d. 1! 14. Evaluate each expression. е. 9Ро а. 6! f. 11P4 b. 11! g. sPo h. 10P2 С. 2! d. 9! Car Strines How many different 4-colorco mont
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