Step 1: Analyzing the given sequence.
The sequence consists of four figures, each containing a combination of four symbols: \( \star \) (star), \( \circ \) (circle), \( \square \) (square), and \( z \). We need to determine the next figure in the sequence based on the pattern of how the symbols shift and change in each figure.
The given sequence is:
\[
1. \, \star \, z \, \square \, \circ
\]
\[
2. \, \circ \, z \, \square \, \star
\]
\[
3. \, \square \, z \, \circ \, \star
\]
\[
4. \, \star \, z \, \square
\]
Step 2: Identifying the pattern.
In each figure, we have four positions where different symbols are arranged. Observing the sequence, the order of symbols changes systematically. The primary focus is on how the star \( \star \), circle \( \circ \), square \( \square \), and \( z \) shift their positions.
In the first figure, we have \( \star \) at the first position, \( z \) at the second, \( \square \) at the third, and \( \circ \) at the fourth.
In the second figure, we observe that the star \( \star \) has shifted to the last position and the circle \( \circ \) has moved to the first position. The square \( \square \) and \( z \) remain in the same positions.
In the third figure, the square \( \square \) has moved to the first position, the circle \( \circ \) to the second, the \( z \) stays in the third position, and the star \( \star \) has shifted to the last.
In the fourth figure, the positions of \( \star \), \( z \), and \( \square \) are the same as in the first figure.
Step 3: Predicting the next figure.
Looking at how the symbols have shifted in the previous steps, we can predict that the next figure will continue the cycle. The positions of the symbols should shift as follows:
\( \circ \) will likely move to the first position (as seen in the second figure).
\( z \) stays in the second position.
\( \square \) stays in the third position.
The \( \star \) symbol will move to the fourth position (as seen in the first figure).
Thus, the next figure should be \( \circ \, z \, \square \, \star \), which matches option B.
Step 4: Conclusion.
The correct answer is option B: \( \circ \, z \, \square \, \star \).