Write SQL query to solve given problem: In Shakespeare's works between 1600 to 1610, how many of these have a character as a "Third Servingman"?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT COUNT(DISTINCT T2.work_id) FROM works AS T1 INNER JOIN chapters AS T2 ON T1.id = T2.work_id INNER JOIN paragraphs AS T3 ON T2.id = T3.chapter_id INNER JOIN characters AS T4 ON T3.character_id = T4.id WHERE T1.DATE BETWEEN 1600 AND 1610 AND T4.CharName = 'Third Servingman'