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An amateur drama group has volunteers who are able to help with the following jobs: 15 for backstage work 20 to work the lights 11 for the box office 6 to work backstage and in the box office 3 to work backstage and work the lights 2 to work the lights and the box office. Use a Venn Diagram to determine the number of volunteers able to work backstage, lights and the box office, given there are 3 volunteers. Then state the value of the following: a) (backstagenlights)' b) (lights nbox office nbackstage) c) (lightsubackstage)'

An amateur drama group has volunteers who are able to help with the following jobs: 15 for backstage work 20 to work the lights 11 for the box office 6 to work backstage and in the box office 3 to work backstage and work the lights 2 to work the lights and the box office. Use a Venn Diagram to determine the number of volunteers able to work backstage, lights and the box office, given there are 3 volunteers. Then state the value of the following: a) (backstagenlights)' b) (lights nbox office nbackstage) c) (lightsubackstage)'

A First Course in Probability (10th Edition)
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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1. Create an equation to solve for x

2. Write the process

3. Sovle for x

4. Create a Venn Diagram, filling out all areas and labeling correctly (use x as the centre)

5. State the calue of each of a, b and c

An amateur drama group has volunteers who are able to help with the following jobs: 15 for backstage work 20 to work the lights 11 for the box office 6 to work backstage and in the box office 3 to work backstage and work the lights 2 to work the lights and the box office. Use a Venn Diagram to determine the number of volunteers able to work backstage, lights and the box office, given there are 37 volunteers. Then state the value of the following: a) (backstagenlights) b) (lights box office nbackstage)' c) (lightsubackstage)'
Transcribed Image Text:An amateur drama group has volunteers who are able to help with the following jobs: 15 for backstage work 20 to work the lights 11 for the box office 6 to work backstage and in the box office 3 to work backstage and work the lights 2 to work the lights and the box office. Use a Venn Diagram to determine the number of volunteers able to work backstage, lights and the box office, given there are 37 volunteers. Then state the value of the following: a) (backstagenlights) b) (lights box office nbackstage)' c) (lightsubackstage)'
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