Example

For given sets A and B assume that s(A) = 10, s(B) = 16 and s(A ? B) = 23. Find s(B \ A).

Solution

s(A ? B) = s(A) + s(B) – s(A ? B) = 10 + 16 – 23 = 3. Therefore s(A \ B) = 7 and  s(B \ A) = 13

As also understood form the solution given for the example, all of the statements in the options are correct, so the correct answer is E.

s(A ? B) = s(A) + s(B) – s(A ? B) = 20 + 26 – 33 = 13. Therefore s(A \ B) = 7 and  s(B \ A) = 13.