ajax code for storing multiple checkbox values to an array and pass to controller

User Jquery Ajax to call your controller's method.

Controller Code :

 public class CustomerController : Controller 
 {
  public ActionResult Index() 
  {
   return View();
  }

  [HttpPost]
  public ActionResult UpdateOrder()
  {
  // some code
  return Json(new { success = true, message = "Order updated successfully"    }, JsonRequestBehavior.AllowGet);
   }
  } 

Jquery code :

$.ajax({
url: '@Url.Action("UpdateOrder")', // to get the right path to controller from TableRoutes of Asp.Net MVC
dataType: "json", //to work with json format
type: "POST", //to do a post request 
contentType: 'application/json; charset=utf-8', //define a contentType of your request
cache: false, //avoid caching results
data: {}, // here you can pass arguments to your request if you need
success: function (data) {
     // data is your result from controller
    if (data.success) { 
        alert(data.message);
    }
},
error: function (xhr) {
    alert('error');
}
});

Above code has taken as reference from here :

http://www.c-sharpcorner.com/UploadFile/337dfd/useful-way-to-call-controller-actions-from-html-using-jquery/

jQuery to call Action Method in ASP.NET MVC C# by Ajax

Hope this would help.