If A and B are any two events such that $P(A) + P(B) - P(A \text{and} B) = P(A)$, then choose the correct answer:

Question

$$\begin{array} (A)\: P(B|A) = 1 \quad &(B)\: P(A|B) = 1 \\ (C)\: P(B|A) = 0 \quad & (D)\: P(A|B) = 0 \end{array}$$