Concept:
In Carnatic music, the Sapta Taalas are the seven fundamental rhythmic structures that form the basis of the tala system. Each tala has a fixed arrangement of rhythmic sections called Angas.
The traditional order of Sapta Taalas is important in Carnatic music theory.
Step 1: Understand the Sapta Taalas.
The seven Sapta Taalas are:
• Dhruva
• Matya
• Rupaka
• Jhampa
• Triputa
• Ata
• Eka
Step 2: Identify the order among the given talas.
From the standard sequence:
\[
\text{Dhruva}
\rightarrow
\text{Matya}
\rightarrow
\text{Rupaka}
\rightarrow
\text{Jhampa}
\rightarrow
\text{Triputa}
\]
Using the given letters:
\[
D \rightarrow A \rightarrow E \rightarrow B \rightarrow C
\]
Step 3: Compare with the given options.
Among the given choices:
\[
(A)\ D,A,E,B,C
\]
\[
(B)\ D,A,E,C,B
\]
\[
(C)\ A,B,C,D,E
\]
\[
(D)\ B,C,A,E,D
\]
the correct sequence is:
\[
\boxed{D,A,E,B,C}
\]
Hence:
\[
\boxed{\mathrm{(A)}}
\]