Concept:
In Hindustani music, a Tala is a rhythmic cycle made up of a fixed number of matras or beats.
Different talas have different numbers of beats.
For example:
\[
\text{Dhamar} = 14 \text{ matras}
\]
\[
\text{Tilwada} = 16 \text{ matras}
\]
\[
\text{Pancham Sawari} = 15 \text{ matras}
\]
\[
\text{Ada Choutal} = 14 \text{ matras}
\]
Step 1: Check Dhamar Tala.
Dhamar tala has:
\[
14 \text{ matras}
\]
So, Dhamar is not the correct answer.
Step 2: Check Tilwada Tala.
Tilwada tala has:
\[
16 \text{ matras}
\]
So, Tilwada is also not the correct answer.
Step 3: Check Pancham Sawari Tala.
Pancham Sawari is a tala of:
\[
15 \text{ matras}
\]
So, Pancham Sawari satisfies the condition given in the question.
Step 4: Check Ada Choutal.
Ada Choutal has:
\[
14 \text{ matras}
\]
So, Ada Choutal is not the correct answer.
Step 5: Final conclusion.
The tala having 15 beats is:
\[
\boxed{\text{Pancham Sawari}}
\]
Hence, the correct answer is:
\[
\boxed{\text{(C)}}
\]