Consider the following statements regarding Prime Minister's Science, Technology, and Innovation Advisory Council (PM-STIAC).
- The PM-STIAC is a permanent office under the Cabinet Secretariat that provides scientific advice directly to the Prime Minister.
- PM-STIAC is the council chaired by the Vice Chairperson of NITI Aayog.
- It functions under the Ministry of Science & Technology as its executive arm.
How many of the above statements is/are correct?