Concept:
Chronological arrangement of artists is done from the earliest historical period to the latest.
Step 1: Identify the earliest artist.
El Greco belonged to the late Renaissance and Mannerist period.
So, he comes first:
\[
D = \text{El Greco}
\]
Step 2: Place John Constable.
John Constable was a nineteenth-century English landscape painter.
So, he comes after El Greco:
\[
E = \text{John Constable}
\]
Step 3: Place Gustav Courbet.
Gustav Courbet belonged to nineteenth-century Realism.
So, the third is:
\[
A = \text{Gustav Courbet}
\]
Step 4: Place Diego Rivera.
Diego Rivera was a twentieth-century Mexican muralist.
So, the fourth is:
\[
B = \text{Diego Rivera}
\]
Step 5: Place Frida Kahlo.
Frida Kahlo also belonged to twentieth-century Mexican art and is placed after Rivera in this sequence.
So, the last is:
\[
C = \text{Frida Kahlo}
\]
Thus, the correct chronological order is:
\[
D \rightarrow E \rightarrow A \rightarrow B \rightarrow C
\]
Hence:
\[
\boxed{\text{(A) D, E, A, B, C}}
\]