Question

please answer the question​

Answer 1

Answer:

Let U be the set of car owners investigated. M be the set of persons who owned car A and S be the set of persons who owned car B.

Given that,

                n (U) = 500 , n (M) = 400 , n (S) = 200 and n ( S ∩ M ) = 50

Then,

            n ( S ∪ M ) = n (S) + n (M) - n (S ∩ M) = 200 + 400 - 50 = 550

But S ∪ M ⊂ U implies n (S ∪ M) ≤ n (U).

This is a contradiction. So, the given data is incorrect.

Hope it helps you!!

Answer 2

Answer:

Given:

n(A)=400

n(B)=200

n(AnB)=50

n(AUB)=500

Solution:

We Know That,

n(AUB) = n(A) + n(B) - n(AnB)

By substituting,

500 = 400 + 200 - 50

500 = 600 - 50

500 ≠ 550

Therefore the given data is wrong.

Step-by-step explanation: