a.  how many five letter codes can be made if each chosen letter (from the the original 7 letters) can only be used only once (no repeats).  b. how many 5 letter codes can be made  this time if the letter "b" must be the first letter of the code, the "e" must be the second letter of the code.  Assume each chosen letter from the original 7 letters given can be used only once (no repeats).    c. An international car manufacturer offers its best selling model in 6 colors, 2 types of seats (leather or vinyl),  and 3 engine choices   How many outcomes are available?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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a.  how many five letter codes can be made if each chosen letter (from the the original 7 letters) can only be used only once (no repeats). 

b. how many 5 letter codes can be made  this time if the letter "b" must be the first letter of the code, the "e" must be the second letter of the code.  Assume each chosen letter from the original 7 letters given can be used only once (no repeats).   

c. An international car manufacturer offers its best selling model in 6 colors, 2 types of seats (leather or vinyl),  and 3 engine choices   How many outcomes are available?

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