Concept:
For a subshell with azimuthal quantum number \(l\), the number of orbitals is:
\[
2l+1
\]
Step 1: For a \(d\)-subshell:
\[
l=2
\]
Step 2: Number of orbitals:
\[
2l+1=2(2)+1
\]
\[
=5
\]
Step 3: The five \(d\)-orbitals are commonly represented as:
\[
d_{xy},\ d_{yz},\ d_{zx},\ d_{x^2-y^2},\ d_{z^2}
\]
\[
\boxed{5}
\]