* Inzaghi shown door after poor season
* Mihajlovic among favourites to take over (Adds details)
MILAN, June 16 (Reuters) - AC Milan dismissed manager Filippo Inzaghi on Tuesday after a disappointing season in which they finished 10th in Serie A and failed to qualify for Europe for the second time in a row.
The 41-year-old had been in charge for one season and was the third coach to be sacked in the last 18 months by the floundering seven-times European champions following Massimiliano Allegri and Clarence Seedorf.
Inzaghi, who spent 10 years at the club as a player, struggled throughout much of a campaign that brought their lowest number of wins since 2001 and his future had long been questioned.