A survey of college students resulted in the following information: 24 own Nike shoes 28 own Adidas shoes 20 own both brands 2 own neither brand   Q1. How many students were surveyed? Q2. How many students own Adidas shoes but not Nike shoes?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A survey of college students resulted in the following information:

24 own Nike shoes

28 own Adidas shoes

20 own both brands

2 own neither brand

 

Q1. How many students were surveyed?

Q2. How many students own Adidas shoes but not Nike shoes?

 

 

50 people were asked to identify their allergies.

8 are allergic to peanuts.

6 are allergic to milk.

9 are allergic to bananas.

One is allergic to all three.

4 are allergic to peanuts and milk.

5 are allergic to peanuts and bananas.

3 are allergic to bananas and milk.

 

Q3. How many are not allergic to anything?

Q4. How many are allergic to milk but not peanuts?

Q5. How many are allergic to less than two foods?

Q6. How many are allergic to bananas or milk?

 

 

110 people were asked “Which actor do you like?”

89 like Will Smith

87 like Tom Cruise

68 like Tom Cruise and Will Smith

 

Q7. How many like Tom Cruise but not Will Smith?

Q8. How many don’t like either actor?

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