How to limit the number of selected checkboxes?

Try this DEMO:

 $(document).ready(function () {
   $("input[name='vehicle']").change(function () {
      var maxAllowed = 3;
      var cnt = $("input[name='vehicle']:checked").length;
      if (cnt > maxAllowed) 
      {
         $(this).prop("checked", "");
         alert('Select maximum ' + maxAllowed + ' Levels!');
     }
  });
});

Using change event you can do something like this:

var limit = 3;
$('input.single-checkbox').on('change', function(evt) {
   if($(this).siblings(':checked').length >= limit) {
       this.checked = false;
   }
});

See this working demo

Try like this.

On change event,

$('input[type=checkbox]').on('change', function (e) {
    if ($('input[type=checkbox]:checked').length > 3) {
        $(this).prop('checked', false);
        alert("allowed only 3");
    }
});

Check this in JSFiddle