Get selected radio button from radio button list

Hello.

I am working on a simple polling system.

I have 2 tables :

Polls:

Id,Title

PollOptions:

Id, PollId, Title, VoteCount

And a ViewModel :

public Poll Poll { get; set; }
public List<PollOption> PollOptions { get; set; }

So in a test view i want to get current Poll and select one option and submit it:

public async Task<IActionResult> Test()
  {
      var poll = db.Polls.Find(1);
      var polloptions = db.PollOptions.Where(p => p.PollId == poll.Id);
      var pollviewmodel = new PollViewModel()
        {
           Poll = poll,
           Options = polloptions
        };

      return View(pollviewmodel );
   }

in View :

@model PollViewModel;<div class="container">
    @Model.Poll.Title<br/>
    @for(int i = 0; i < Model.PollOptions.Count; i++)
    {<p><input asp-for="@Model.PollOptions[i].Id" value="@Model.PollOptions[i].Id" type="radio"/><label asp-for="@Model.PollOptions[i].Id">@Model.PollOptions[i].Title</label> <input asp-for="@Model.PollOptions[i].Id" type="hidden"/> </p> } </div>

So in this code if i run all items will show as selected and if i change this line :

<input asp-for="@Model.PollOptions[i].Id" value="@Model.PollOptions[i].Id" type="radio"/>

to this :

<input asp-for="@Model.PollOptions[i]" value="@Model.PollOptions[i].Id" type="radio"/>

none item will be selected and also i can not select any of them.

i want to show all options and user select one and submit form and add 1 to ViewCount field.

Rendered result :

<div class="container">
Poll Title<br/><p><input value="1" type="radio" checked="checked" data-val="true" data-val-required="The Id field is required." id="PollOptions_0__Id" name="PollOptions[0].Id"><label for="PollOptions_0__Id">Option1</label><input type="hidden" id="PollOptions_0__Id" name="PollOptions[0].Id" value="1"></p><p><input value="2" type="radio" checked="checked" data-val="true" data-val-required="The Id field is required." id="PollOptions_1__Id" name="PollOptions[1].Id"><label for="PollOptions_1__Id">Option2</label><input type="hidden" id="PollOptions_1__Id" name="PollOptions[1].Id" value="2"></p><p><input value="3" type="radio" checked="checked" data-val="true" data-val-required="The Id field is required." id="PollOptions_2__Id" name="PollOptions[2].Id"><label for="PollOptions_2__Id">Option3</label><input type="hidden" id="PollOptions_2__Id" name="PollOptions[2].Id" value="3"></p></div>

please help me i am so confused :-(