Dear Aspirant,
The number of seats in ESE(formerly IES) vary every year. For instance, in 2014, total number of vacancies (all branches) were 572, in 2015 it got reduced to 475, and in 2016 it increased to 602. Number of seats are subject to vacancies in various central government departments.
Generally the seats are between 500-600 so it is not possible to say how many officers are there per state.
Hope this helps, thank you.
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