Consider the set X = {A,B, C, D,E, F, G} case 1 How many 4-letter lists from X (with repetition not allowed) are there that don't start with A or E, or do end with G? I'm confused here should the answer be 4*6*5*1 Or the answer is 4*5*4*1 Please explain which one is right and why the other one is wrong? Case 2 How many 4-letter lists from X (with repetition not allowed) are there that don't start with A or E, and do end with A or G? also what is the difference in this case how the answer gone change-

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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Consider the set X = {A,B, C, D,E, F, G}

case 1

How many 4-letter lists from X (with repetition not allowed) are there that
don't start with A or E, or do end with G?

I'm confused here should the answer be

4*6*5*1

Or the answer is

4*5*4*1

Please explain which one is right and why the other one is wrong?

Case 2

How many 4-letter lists from X (with repetition not allowed) are there that
don't start with A or E, and do end with A or G?

also what is the difference in this case how the answer gone change-

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