Question

120 Shoppers were asked as to what was their favorite clothing brand. 70 said they like Memo, 60 said they like Oxygen, and 50 said they like Bench. 25 like Memo and Oxygen, 20 like Memo and Bench, 15 like Oxygen and Bench, while only 10 like all three brands. How many shoppers like Oxygen and Memo but not Bench?

Answer 1

Answer:

Step-by-step explanation:

Let A be Memo brand, B be Oxygen brand and C be Bench brand.

Given,

n(A) = 70, n(B) = 60, n(C) = 50, n(AnB) = 25, n(AnC) = 20, n(BnC) = 15,

n(AnBnC) = 10  

Create a venn diagram using the above data as attached.

we can find that the number of shoppers like oxygen and Memo but not bench = 15.