Medium-pace bowler Sandeep Sharma took 5-18 to help restrict Mumbai to 179-9
Legspinner Cameron White became Australia's 402nd test player when he was handed his debut for the match ahead of offspinner Jason Krejza.
Australia will field a new opening combination with Simon Katich partnering Matthew Hayden, who returns from a heel injury which ruled him out of the West Indies series. Allrounder Shane Watson will bat at No. 6 while White is listed at No. 8.
India included fast bowlers Zaheer Khan and Ishant Sharma to play alongside spinners Anil Kumble and Harbhajan Singh.
Former India captain Sourav Ganguly has announced he will retire at the end of this series, while current skipper Kumble has confirmed this test will be his last on his home ground.
Australia holds the Border-Gavaskar trophy after winning the previous series 2-1 at home in January.
Teams:
Australia: Matthew Hayden, Simon Katich, Ricky Ponting (captain), Michael Clarke, Michael Hussey, Shane Watson, Brad Haddin, Cameron White, Brett Lee, Mitchell Johnson, Stuart Clark.
India: Virender Sehwag, Gautam Gambhir, Rahul Dravid, Sachin Tendulkar, Sourav Ganguly, V.V.S Laxman, Mahendra Singh Dhoni, Anil Kumble (captain), Harbhajan Singh, Zaheer Khan, Ishant Sharma.
Umpires: Asad Rauf, Pakistan, and Rudi Koertzen, South Africa.
TV Umpire: Amish Saheba, India. Match Referee: Chris Broad, England.
Medium-pace bowler Sandeep Sharma took 5-18 to help restrict Mumbai to 179-9
The former India captain was furious with the third umpire's decision and argued with the on-field umpire before walking off the field
Travus Head, the Australian left-hander, has amassed 324 runs with a mind-boggling strike rate of 216
New Zealand are missing several top players due to the Indian Premier League
Gujarat Titans won a low-scoring game by three wickets
The UAE booked their place in the 2025 Asia Cup which will feature Test-playing teams India, Pakistan, Sri Lanka, Bangladesh and Afghanistan
The drama did not help Bengaluru in their chase as the bottom-placed side in the 10-team table slumped to their seventh loss in eight matches
Muhammad Waseem led from the front with a sparkling hundred