Filter table view with checkboxes, mvc

Got stuck with an problem i hoping you can help me with.

I am using Visual Studio 2017 and have made an MVC Project that show tv-Channels I have a table in my database (full) that store all my data for my 5 channels, it look something like this:

Id    Channel     Program         Date          Time
1       One         News         2018-11-11     18:00
2       One         Sport        2018-11-11     20:00
3       Two         Inception    2018-11-11     09:50
4       Three       Seinfeldt    2018-11-11     11.00
5       Four        Alf          2018-11-11     15:30
5       Four        News         2018-11-11     19:00
.
.
.

This is my Controller

namespace Uppgift4.Controllers
{
public class FullsController : Controller
{
    private TvProgramDBEntities db = new TvProgramDBEntities();

    public ActionResult Index()
    {
        return View(db.Full);
    }

This is My View

@model IEnumerable<Uppgift4.Models.Full>
@{
ViewBag.Title = "Index";
}
<h2>Index</h2>

<table class="table table-bordered table-hover">
<tr>
    <th>
        Channel
    </th>
    <th>
        Program
    </th>
    <th>
        Date
    </th>
    <th>
        Time
    </th>
    <th></th>
 </tr>

 @foreach (var item in Model)
 {
    <tr>
        <td>
            @Html.DisplayFor(modelItem => item.Channel)
        </td>
        <td>
           @Html.DisplayFor(modelItem => item.Program)
        </td>
        <td>
            @Html.DisplayFor(modelItem => item.Date)
        </td>
        <td>
            @Html.DisplayFor(modelItem => item.Time)
        </td>
    </tr>
 }

This works fine and i get a list of all my programs in my view.

Now i want to filter this table, by adding 5 checkboxes(one for each channel), so i can choose which channel i want to show data from. So when i for example check One and two i just get the programs for this two channels in my view, How can i add this feature in my view?