Write SQL query to solve given problem: List out the number of students who have the longest duration of absense from school and enlisted in the peace corps.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT COUNT(T1.NAME) FROM longest_absense_from_school AS T1 INNER JOIN enlist AS T2 ON T1.name = T2.name WHERE T2.organ = 'peace_corps' ORDER BY T1.month DESC LIMIT 1