Step 1:
Nāstika philosophies do not accept the authority of the Vedas.
Step 2:
Cārvāka, Bauddha, and Jaina philosophies are Nāstika systems.
Step 3:
Vaiśeṣika accepts Vedic authority and is considered an Āstika Darśana.
Step 4:
Hence, the correct answer is:
\[
\boxed{\text{(4) Vaiśeṣika Darśana}}
\]