Question

If X and Y are two sets such that X∪Y has 50 elements. X has 28 elements and Y has 52 elements. then X∩Y is

Answer 1

Answer:

Doesn't exist.

Step-by-step explanation:

The easiest method for you to understand the concept is using a Venn Diagram.

Imagine 2 Circles kept in a rectangle ( represent the universal set)

One circle is 28 Other circle is 52

The Filled Area Represents (X Intersection Y)

XUY = X + Y - (X Intersection Y)

50 = 28 + 52 - (X Intersection Y)

50 = 80 - (X Intersection Y)

Implying (X Intersection Y) = 30.

But we notice that set A has only 28 elements.

So the intersection cannot have 30 Elements but maximum or 28.

There's a flaw in the question.