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The correct answer is option 3: Free and compulsory education for all children between the age of 6 and 14 years.
Option 1 deals with the inclusion of languages Bodo, Dogri, Maithili, and Santhali in the Eighth Schedule of the Indian Constitution. The Eighth Schedule lists the recognized languages of India.
Option 2 deals with the inclusion of service tax levied by the Union government and collected and appropriated by the Union and the states in the Seventh Schedule of the Indian Constitution. The Seventh Schedule divides the subjects of governance into three lists - Union, State, and Concurrent, indicating the distribution of legislative powers.
Option 4 states that no reservation in Panchayats should be made in favor of Scheduled Castes in Arunachal Pradesh. However, this is not correct. The 93rd Constitutional Amendment does not deal with Panchayat reservation in Arunachal Pradesh.
Therefore, the correct option is option 3, as it accurately reflects the subject matter of the 93rd Constitutional Amendment - free and compulsory education for all children between the ages of 6 and 14 years.