Concept:
In Indian classical dance, Samyuta Hastas are combined hand gestures performed using both hands together. Their classification and sequence are described in texts such as the Abhinaya Darpanam. These hand gestures are arranged in a traditional order for study and performance.
Step 1: Understand the meaning of Samyuta Hastas.
Samyuta Hastas are:
\[
\text{Double-hand gestures}
\]
used in classical dance for expressing:
• Emotions
• Objects
• Actions
• Symbolic meanings
Each Hasta has a fixed position and sequence in traditional dance texts.
Step 2: Identify the correct traditional order.
According to the traditional sequence of Samyuta Hastas:
\[
\text{Anjali} \rightarrow \text{Kapota} \rightarrow \text{Karkata} \rightarrow \text{Svastika} \rightarrow \text{Dola}
\]
Thus, the correct arrangement is:
\[
A,\ B,\ C,\ D,\ E
\]
Step 3: Compare with the given options.
Among the given choices:
\[
(A)\ B,A,D,C,E
\]
\[
(B)\ E,A,C,D,B
\]
\[
(C)\ A,B,C,D,E
\]
\[
(D)\ D,C,B,A,E
\]
the correct sequence matches:
\[
\boxed{A,B,C,D,E}
\]
Hence:
\[
\boxed{\mathrm{(C)}}
\]