How many of..?

Question

Frenchy Fries has added two new ways to enjoy their best-selling Jolly Crispy Fries. The choices now would be Sour Cream Fries, Cheezy Fries, and Classic Fries. A month after its launch, a survey on consumer preference revealed the following:

10 liked Sour Cream Fries

18 liked Cheezy Fries

19 liked Classic Fries

3 liked Sour Cream Fries, Cheezy Fries, and Classic Fries

12 liked Cheezy Fries but did not like both Sour Cream Fries and Classic Fries

4 liked Cheezy Fries and Classic Fries

4 liked Sour Cream and Classic Fries but did not like Cheezy Fries

5 did not like any of the fries

 

a. Construct a Venn Diagram(optional or disregarded)

b. How many were surveyed?

c. How many liked Sour Cream Fries and Cheezy Fries?

d. How many liked Cheezy Fries or Classic Fries?

e. How many liked just one of the three fries

f. How many likes Sour Cream Fries and Cheezy Fries but did not like Classic Fries?

 

Answer 1

I am unable to draw venn diagram here but it become easy to find the answer if you will draw the venn diagram .I can give the ans of each part..

 

a) I can give you numbers for each part which will help you to draw venn diagram .

    AnBnC=3

    (AnB)- (AnBnC) =2

    (BnC)- (AnBnC) =1

    (AnC)- (AnBnC) =4

      A-(B∪C)  =1

      B-(A∪C) =12

      C-(A∪B) =11

      A'∪B'∪C'  =5

 

b)39

c)7

d)33

e)24

f)2