You should really go through a book or on-line tutorials for MVC as you can't learn something from scratch by asking questions on a forum. Your model is defined by what you return from the controller
return View(tsnewuser);
tsnewuser is IEnumerable<string> so your view needs to define that as the model, but you are defining
@model loginntimesheet.Models.TS_entryscreen
So that needs to be
@model IEnumerable<string>
You access the model using "Model" (Model is a special variable that will always be the type defined in @model), so to loop through your strings
foreach (string name in Model)
{
<p>@name</p>
}
However a drop down comprises of a list of things that have two values, a name and a value, and you also need somewhere to store the selected item, so you can't make a drop down from a list of strings. There is a special structure used to make dropdowns, if you have a look at this there will be some sample code
http://odetocode.com/blogs/scott/archive/2013/03/11/dropdownlistfor-with-asp-net-mvc.aspx[
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