Final answer:
The question asks about the number of colors needed for shape coloring in a math problem, but a diagram is necessary to provide a specific answer. Without the arrangement of shapes, it's impossible to tell whether 2, 3, 4, or 5 colors are needed.
Step-by-step explanation:
The subject of the question is Mathematics, and it pertains to the minimum number of colors needed to color a set of shapes so that no adjacent shapes share the same color. This problem is related to graph coloring in discrete math, where each shape can be thought of as a vertex on a graph and the edges represent adjacency between shapes. To answer this question, we would need to see the actual arrangement of shapes since the minimum number of colors required can vary based on the layout. However, the question does not provide a specific diagram of shapes, so we cannot determine the correct answer from options (a) 2, (b) 3, (c) 4, or (d) 5 without it.