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Task: Specific work given to anybody to complete within limited time period.
Duty: Job Structure employer hire for.
Responsibility: Employees interest of doing his duty.
Sir, This is my own answer, may be wrong or right but I try to create.
In my View:
Tasks are a some works give to you do it on time. action will be possible in the same area or another area you accomplished .Duty: is part of the job description before you start the work .Responsibility : is supervising the group of persons to work on achieving the goals of the administration
TASK IS THE UNIR OF A WORK , DUTY: THE RESPONSIBILITY WHICH IS ASSIGNED BY THE SUPERVISOR OR BOSS.