Question

out of 500car owners investigated 400owned car Aand 200 owned car B50 owned both A and BCars in this data correct​

Answer 1

Let U = set of car owners investigated

M = set of persons who owned car A

S = set of persons who owned car B.

Then n(u) = 500, n(M) = 400, n(S) = 200 and

n(S∩M) = 50

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

But S∪M⊂U⇒n(5∪M)≤n(U)

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

Answer 2

refer to the attachnent