When a group of colleagues discussed where their annual retreat should take place, they found that of all the colleagues 25 would not go to a park, 28 would not go to a beach, 29 would not go to a cottage, 10 would go to nether a park nor a beach, 9 would go to neither a beach nor a cottage, 8 would go to neither a park nor a cottage, 5 would not go to a park or a beach or a cottage, and 5 were willing to go to all three places What is the total number of colleagues in the group? There are colleagues in the group

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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When a group of colleagues discussed where their annual retreat should take place, they found that of all the colleagues: 25 would not go to a park, 28 would not go to a beach, 29 would not go to a cottage, 10 would go to neither a park nor a beach, 9 would go
to neither a beach nor a cottage, 8 would go to neither a park nor a cottage, 5 would not go to a park or a beach or a cottage, and 5 were willing to go to all three places. What is the total number of colleagues in the group?
There are colleagues in the group.
Transcribed Image Text:When a group of colleagues discussed where their annual retreat should take place, they found that of all the colleagues: 25 would not go to a park, 28 would not go to a beach, 29 would not go to a cottage, 10 would go to neither a park nor a beach, 9 would go to neither a beach nor a cottage, 8 would go to neither a park nor a cottage, 5 would not go to a park or a beach or a cottage, and 5 were willing to go to all three places. What is the total number of colleagues in the group? There are colleagues in the group.
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