How to use dynamically Radiobutton in ASP.NET MVC - asp.net-mvc

Question

I am creating a Poll in my ASP.NET MVC project.
1) I select poll and it's replies as an object of Poll model from database [poll model contain a list of reply model that named PollReplies]:
Poll model:
public class Poll
{
public Poll() {
PollReplies = new List<PollReply>();
}
public int ID { get; set; }
public System.DateTime CDate { get; set; }
public System.DateTime SDate { get; set; }
public System.DateTime EDate { get; set; }
public string User_ID { get; set; }
public string Title { get; set; }
public int Language_ID { get; set; }
public bool IsActive { get; set; }
public bool IsPublic { get; set; }
public bool ResultIsPublic { get; set; }
public List<PollReply> PollReplies { get; set; }
}
Reply model:
public class PollReply
{
public int ID { get; set; }
public int Poll_ID { get; set; }
public string Title { get; set; }
public int Count { get; set; }
public bool IsChecked { get; set; }
}
2) I render poll title of the selected poll object as question of poll.
3) With a for render replies:
for (int i = 0; i < Model.PollReplies.Count; i++)
{
#Html.HiddenFor(model => model.PollReplies[i].ID, new { #Value = Model.PollReplies[i].ID })
counter++;
<tr>
<td>#counter</td>
<td>#Html.DisplayFor(model=>model.PollReplies[i].Title)</td>
<td>
#Html.RadioButtonFor(model => model.PollReplies[i].IsChecked,counter)
</td>
</tr>
}
My problem:
1) When I submit form, The Poll model is contain all replies. All replies has ID but the IsChecked propery of replies not set with the client selected radiobutton!(all IsChecked of replies are false) How I can post the selected reply as true?
2) I am using #Html.RadioButtonFor and radios give name attributes automaticly, so the name attribute of generated inputs are diffrente, but i need to just select one of radios! What is the best solution?