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

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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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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