Concept:
Kathakali is famous for its elaborate makeup and costume tradition. Different facial makeup patterns and beard styles are used to represent heroic, divine, demonic, and comic characters. These makeup categories are an essential part of Kathakali performance aesthetics.
Step 1: Identify the Kathakali makeup categories.
\[
\text{Chuttipuva}
\]
is associated with Kathakali facial makeup preparation and decorative facial border work.
\[
\text{Chuvanna Tadi}
\]
means:
\[
\text{Red Beard}
\]
and represents fierce or evil characters.
\[
\text{Veluppu Tadi}
\]
means:
\[
\text{White Beard}
\]
used for divine or monkey-like heroic characters such as Hanuman.
\[
\text{Kurupaa Tadi}
\]
also belongs to Kathakali beard makeup classification.
Thus:
\[
A,\ B,\ C,\ D
\]
are related to Kathakali makeup traditions.
Step 2: Identify the term that is not a makeup tool/category.
\[
\text{Elagatali}
\]
is not recognized as a Kathakali makeup category or tool.
Thus:
\[
E
\]
is excluded.
Step 3: Select the correct combination.
The correct set is:
\[
A,\ B,\ C,\ D
\]
Step 4: Compare with the given options.
Among the given choices:
\[
(A)\ A,B,E
\]
\[
(B)\ D,B,C,E
\]
\[
(C)\ A,B,C,D
\]
\[
(D)\ D,E,A
\]
the correct answer is:
\[
\boxed{A,B,C,D}
\]
Hence:
\[
\boxed{\mathrm{(C)}}
\]