Question

In a survey a group of 1800 people it is found that 1200 people like product A and 900 like product B what is tge least no. of people who liked both the products A and B, given that 500 people don't like any of the products​

Answer 1

Step-by-step explanation:

total people 1800-500 people don't like = 1300

1300-1200 people like A = 100 both a&b

Answer 2

There are 800 people who like both the products A and B.

Step-by-step explanation:

Since we have given that

Number of people = 1800

Number of people like product A = 1200

Number of people like product B = 900

Number of people don't like any of the product = 500

So, the number of people like either products is given by

$1800-500=1300$

According to question, we get that

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\1300=1200+900-n(A\cap B)\\\\1300=2100-n(A\cap B)\\\\1300-2100=-n(A\cap B)\\\\-800=-n(A\cap B)\\\\n(A\cap B)=800$

Hence, there are 800 people who like both the products A and B.

# learn more:

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.

https://brainly.in/question/6627181