Crime rates are much lower in Palma than in other Spanish cities.
Residents of Son Ferriol have complained about the lack of security in the neighbourhood.
The ten were in court in Palma on Monday to hear the confirmation of sentences.
"Operation Grey Lion" started earlier this year and has ended with a total of seven arrests in Majorca, Ibiza and Valencia.
Police investigations focused on current and former employees of the company managing the rentals.
A judge ruled that the two men leave the island by the end of the month.
"You can't see anything because (the new lights) are much lower and the field of illumination is limited."
In late summer, the Guardia Civil opened an investigation into thefts from cars in the old town of Felanitx.
The robbers became known as the "drill gang" because of the use of a drill to make holes in windows.
Eleven of the robberies were in Palma, five in Manacor and seven elsewhere on the island.
An investigation was opened after a number of reports were received regarding thefts from hotels rooms and private properties.
Those detained are all aged between 16 and 20, are of different nationalities and have previous convictions for property crime.