be
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?
Q11. 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.
a. 11!
e. \( { }_{6} P_{4} \)
i. \( { }_{9} P_{2} \)
b. 9 !
f. \( { }_{12} P_{8} \)
j. \( { }_{11} P_{3} \)
c. 0!
g. \( { }_{7} P_{7} \)
d. \( 1! \)
h. \( { }_{4} P_{0} \)
- 14. Evaluate each expression.
a. \( 6! \)
e. \( { }_{9} P_{6} \)
b. 11 !
f. \( { }_{11} P_{4} \)
c. 2 !
g. \( { }_{8} P_{0} \)
d. \( 9! \)
h. \( { }_{10} P_{2} \)
15. Sports Car Stripes How many different 4-color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and white? All colors are used only once.
