Concept:
Buddhist rock-cut caves developed gradually in western India. Early caves were simple, while later caves became more elaborate with developed chaitya halls, pillars, facades, and sculptural decoration.
Step 1: Identify the earliest cave.
Bhaja is one of the earliest Buddhist rock-cut cave sites.
So, the first is:
\[
E = \text{Bhaja}
\]
Step 2: Place Kondane.
Kondane also belongs to the early phase of Buddhist cave architecture.
So, the second is:
\[
D = \text{Kondane}
\]
Step 3: Place Pitalkhora.
Pitalkhora developed after the earliest phase and shows progress in rock-cut architecture.
So, the third is:
\[
C = \text{Pitalkhora}
\]
Step 4: Place Ajanta Cave 9 and 10.
Ajanta Cave 9 and 10 are early chaitya caves, but in this sequence they come after Pitalkhora.
So, the fourth is:
\[
A = \text{Ajanta Cave 9 and 10}
\]
Step 5: Place Karle.
Karle is a developed chaitya hall and is placed later in the sequence.
So, the last is:
\[
B = \text{Karle}
\]
Therefore, the correct sequence is:
\[
E \rightarrow D \rightarrow C \rightarrow A \rightarrow B
\]
Hence, the correct answer is:
\[
\boxed{\text{(C) E, D, C, A, B}}
\]