Because the problem statements said “5 different chocolates A, B, C, D, E to 8 children”. If nothing is mentioned the default for children is distinct and the default for chocolates is identical, but this is not the default situation as the problem states distinctness….
CAT-holics 
You have considered chocolates as a distinct objects, why?
Because the problem statements said “5 different chocolates A, B, C, D, E to 8 children”. If nothing is mentioned the default for children is distinct and the default for chocolates is identical, but this is not the default situation as the problem states distinctness….
regards
J
the answer for the chocolate sum would be 8^5?
Yes Gautam, 8^5 it would be!
regards
J
What about the case when none of them go the places?
Will not that be counted as an option for the person who is going to 5 distinct classrooms?
Not unless the question says some or all of them are to be sent. You don’t have an option of bunking with this wording.
regards
J