How to update dropdownlist in gridview

Question

I have a gridview in my form,in which there is dropdownlist that is fill up using following code

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DropDownList ddlEmployee = (DropDownList)row.FindControl("ddlEmp");            

       DropDownList ddlEmployee2 = (DropDownList)row.FindControl("ddlEmp2");      

             var Emplist1 = _service.GetAllSectorEmployee();                  

 ddlEmployee.Bind(Emplist1, "EmployeeIdName", "Employee_Id");                

   ddlEmployee2.Bind(Emplist1, "EmployeeIdName", "Employee_Id"); 

i have a requirement that when ever employee is selected ,then it will remove from list,i have done it using following code,

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var removelist = _service.GetAllSectorEmployee().Where(x => x.Employee_Id == Emp2).FirstOrDefault();   

                     _service.DeleteSectorEmployee(removelist); 

problem is that when employee is removed ,dropdownlist will be updated and also remove that employee.how can i do it? i try following code but fruitless

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DropDownList ddlEmployee = (DropDownList)row.FindControl("ddlEmp");    

                     DropDownList ddlEmployee2 = (DropDownList)row.FindControl("ddlEmp2");         

                var Emplist1 = _service.GetAllSectorEmployee();                     

    ddlEmployee.Bind(Emplist1, "EmployeeIdName", "Employee_Id");                  

       ddlEmployee2.Bind(Emplist1, "EmployeeIdName", "Employee_Id");