With reference to the history of Indian rock-cut architecture, consider the following statements:
1. The caves at Badami are the oldest surviving rock-cut caves in India.
2. The Barabar rock-cut caves were originally made for Ajivikas by Emperor Chandragupta Maurya.
3. At ellora, caves were made for different faiths.
Which of the statements given above is/are correct?
1. 1 only
2. 2 and 3 only
3. 3 only
4. 1, 2 and 3