Question

A survey conducted with 50 people on the ice cream flavor they like.It was found out that 28 like chocolate,15 like mango,and 20 likes strawberry.Futhermore,8 like chocolate and strawberry,11 like mango and strawberry,7 like chocolate and mango,and 4 people like all the 3 flavors.

Find the number of people who like.

A.Chocolate Only
B.Mango only
C.Strawberry Only
D.Chocolate and strawberry
E.None of the flavors​

Answer 1

Answer:

A. Chocolate Only = 17

B. Mango only = 1

C.Strawberry Only = 5

D.Chocolate and strawberry = 4

E.None of the flavors​ = 9

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer 2

A set is a group of related item.

• 17 like chocolate only
• 1 likes mango only
• 5 like strawberry only
• 4 like chocolate and strawberry only
• 4 like  none

Let:

$C \to Chocolate$

$M \to Mango$

$S \to Strawberry$

So, we have:

$C = 28$

$M = 15$

$S = 20$

$n(C\ n\ S) = 8$

$n(M\ n\ S) = 11$

$n(C\ n\ M) = 7$

$All = 4$

$n(U) = 50$ -- the population

(a) Chocolate only.

This is calculated as:

$C\ only = C - n(C\ n\ S) - n(C\ n\ M) + All$

So, we have:

$C\ only = 28 - 8 - 7 + 4$

$C\ only = 17$

(b) Mango Only

This is calculated as:

$M\ only = M - n(M\ n\ S) - n(C\ n\ M) + All$

So, we have:

$M\ only = 15 - 11 - 7 + 4$

$M\ only = 1$

(c) Strawberry only

This is calculated as:

$S\ only = S - n(M\ n\ S) - n(C\ n\ S) + All$

So, we have:

$S\ only = 20 - 11 - 8 + 4$

$S\ only = 5$

(d) Chocolate and strawberry

This has already been given as:

$n(C\ n\ S)\ only=n(C\ n\ S) - All$

$n(C\ n\ S)\ only=8 - 4$

$n(C\ n\ S)\ only = 4$

(e) None

See attachment for the Venn diagram that represents the set

Subtract the sum of all the numbers in the Venn diagram from the total (50)

$None = 50 - (17 + 1 + 5 + 4 + 4 + 7 + 3)$

$None = 9$

Read more about sets at:

https://brainly.com/question/7013716