Four numbers are selected from the following list of numbers: -5, -4, -3, - 2, -1, 1, 2, 3, 4; in how many ways can the selections be made so that the product of the four numbers is positive and  1. positive and distinct? 2. positive and each number may be selected as many as four times?  3. each number may be selected at most 3 times?    I understand the answers to 1 and 2 but have provided them in case but the 3rd question I do not understand. I have the answer key and know that it is the answer to the second question minus when you select each number exactly 4 times but i dont understand how to do the selection where each number appears exactly 4 times so if you could please explain that part in detail thank you.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Four numbers are selected from the following list of numbers: -5, -4, -3, - 2, -1, 1, 2, 3, 4; in how many ways can the selections be made so that the product of the four numbers is positive and 

1. positive and distinct?

2. positive and each number may be selected as many as four times? 

3. each number may be selected at most 3 times? 

 

I understand the answers to 1 and 2 but have provided them in case but the 3rd question I do not understand. I have the answer key and know that it is the answer to the second question minus when you select each number exactly 4 times but i dont understand how to do the selection where each number appears exactly 4 times so if you could please explain that part in detail thank you.

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