If Bill raised by a C A service tax would be charged or not

Dear All,

my query is this:
Suppose

if A is a practicing CA (Partnership Firm) and B (Partnership Firm) his client, A hired a Advocate C (Individual) for representation the case of B before High Court.

for this A paid fee to Advocate C and raise a Bill to B for hearing in High Court.

My question is this A would be charge service on Bill raised to B or Not ?

Kindly explain and oblige, your comments are more important with the solution.

Rgds