Question

Out of 500 car owners investigated, 400 owned car A and 200 owned carB, 50 owned both A and B cars. is this data is correct?​

Answer 1

Answer:

REFER THE EXPLANATIONS

Step-by-step explanation:

Let the set of owner of car A & B be A & B respectively

no: of car owned by A = N(A) = 400

no: of car owned by B = N(B) = 200

no: of car owned by both A & B is N(A ∩ B) = 50

We know that ,

N(A ∪ B) = N(A) +N(B) - N(A ∩ B)

               = 400 + 200 - 50

              = 550

• SO NO: OF PEOPLES WHO OWNED EITHER CAE A OR B IS 550

• BUT THE TOTAL NO: OF CAR GIVEN IN THE QUESTION IS 500

• THIS CONTRADICTS THE FACT

• SO,THE GIVEN DATA IS INCORRECT