In a school zone, 29 teacher positions need to be hired for the following areas: 13 of mathematics, 13 of physics and 15 of systems. By covering the positions require 6 teachers to teach mathematics and physics, 4 to teach physics and systems and 5 mathematics and systems. Using a Venn diagram determine: a) How many do you need to teach the 3 areas? b) How many do you need to teach mathematics only? c) How many do you need to teach mathematics and systems, but not physics?

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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In a school zone, 29 teacher positions need to be hired for the following areas: 13 of mathematics, 13 of physics and 15 of systems. By covering the positions require 6 teachers to teach mathematics and physics, 4 to teach physics and systems and 5 mathematics and systems. Using a Venn diagram determine:
a) How many do you need to teach the 3 areas?
b) How many do you need to teach mathematics only?
c) How many do you need to teach mathematics and systems, but not physics?
 
 
 
 
 
 
 
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