Question

In a survey conducted on a group of 1800 people it is found that 1200 people liked product A and
900 people liked product B. What is the least number of people who liked both the products A and B, given that 500 people did not like any of the product.

Answer 1

Answer:

300

Step-by-step explanation:

Total no.of people (N) =1800

No. of people who like product A (P1) = 1200

No.of people who like product B (P2) = 900

∴N(P1∪P2)=N(P1)+N(P2)−N(P1∩P2)

1800 = 1200 + 900 - N(P1∩P2)

1800 = 2100 - N(P1∩P2)

N(P1∩P2) = 2100 - 1800

N(P1∩P2) = 300