2. A curious diner was observing her fellow customers. She noticed that, of the 27 customers she was watching, 14 people ordered a dish containing potatoes, 13 people ordered a dish containing tomatoes, 6 people did not order water with their meal, 12 people ordered potatoes and water, 3 people ordered tomatoes and no water, 6 people ordered potatoes and tomatoes, and 25 people ordered potatoes or tomatoes or water. (a) Draw, and fully label, a Venn diagram representing the given information. (b) How many people ordered potatoes and tomatoes and water? (c) How many people ordered potatoes and water but not tomatoes?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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2. A curious diner was observing her fellow customers. She noticed that, of the 27 customers
she was watching, 14 people ordered a dish containing potatoes, 13 people ordered a dish
containing tomatoes, 6 people did not order water with their meal, 12 people ordered
potatoes and water, 3 people ordered tomatoes and no water, 6 people ordered potatoes
and tomatoes, and 25 people ordered potatoes or tomatoes or water.
(a) Draw, and fully label, a Venn diagram representing the given information.
(b) How many people ordered potatoes and tomatoes and water?
(c) How many people ordered potatoes and water but not tomatoes?
Transcribed Image Text:2. A curious diner was observing her fellow customers. She noticed that, of the 27 customers she was watching, 14 people ordered a dish containing potatoes, 13 people ordered a dish containing tomatoes, 6 people did not order water with their meal, 12 people ordered potatoes and water, 3 people ordered tomatoes and no water, 6 people ordered potatoes and tomatoes, and 25 people ordered potatoes or tomatoes or water. (a) Draw, and fully label, a Venn diagram representing the given information. (b) How many people ordered potatoes and tomatoes and water? (c) How many people ordered potatoes and water but not tomatoes?
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