Write an Equivalent Sentence for the Statement

Multiple Choice

Write an equivalent sentence for the statement.
-If you are mistaken then you are wrong, and if you are wrong then you are mistaken. (Hint: Use The fact that (p → q) ∧ (q → p) is equivalent to p ↔ q.)

A) You are mistaken or you are wrong.
B) You are mistaken and wrong.
C) You are mistaken if and only if you are wrong.
D) You are mistaken if you are wrong.