Question

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

Answer 1

Answer:

So people who like only product C is 11.

Step-by-step explanation:

Given

n(A) = 21

n(B) = 26

n(C) = 29

n(A∩B) = 14

n(B∩C) = 14

n(A∩C) = 12

And n(A∩B∩C) = 8

Now people who like only product C is

n(C) - n(A∩C) - n(B∩C) + n(A∩B∩C)

= 29 -12 - 14 + 8

= 37 - 26

= 11

So people who like only product C is 11.

Answer 2

Answer:

Heyy!

Step-by-step explanation:

Hope it helps!

n(A) = 21

n(B) = 26

n(C) = 29

n(A∩B) = 14

n(B∩C) = 14

n(A∩C) = 12

And n(A∩B∩C) = 8

Now people who like only product C is

n(C) - n(A∩C) - n(B∩C) + n(A∩B∩C)

= 29 -12 - 14 + 8

= 37 - 26

= 11