Markov chains — how many stationary distributions

Let $\{X_n:n\ge0\}$ be any homogeneous Markov Chain on the state space $S=\{1,2,3,4\}$ having the transition probability matrix $P=(p_{ij})_{i,j\in S}$ given by

$$P=\begin{pmatrix} \frac14 & 0 & \frac23 & \frac1{12}\\ 0 & 1 & 0 & 0\\ \frac1{12} & 0 & \frac14 & \frac23\\ \frac23 & 0 & \frac1{12} & \frac14 \end{pmatrix}.$$

Which of the following statements about stationary distributions of any such Markov Chain is true?