Question

In a survey it was found that 21 people liked product A , 26 like product B & 29 liked product C. If 14 people liked product A & B. 12 people like product C & A . 14 people liked product B & C and 8 liked all the three . Find (a ) how many like C only (b) how many like A& B but not C
(c) How many like B or C bot not A
(d)how many like at least 2 (e) how many like exactly 1 product

Answer 1

Answer:

Hello Mate:)

Step-by-step explanation:

Let A, B, and C be the set of people who like product A, B, and C respectively. 

n(A) = 21, n(B) = 26, n(C) = 29, n(A ∩ B) = 14, n(C ∩ A) = 12, n(B ∩ C) = 14, n(A ∩ B ∩ C) = 8 

People who many liked product C only 

= n(C) - n(C ∩ A) - n(B ∩ C) + n(A ∩ B ∩ C) 

= 29 -12 – 14 + 8 

= 11 

Hence, 11 liked product C only.