In my last article "Two way binding radio button to observable" I suggested an approach for creating a two way binding for a pair of yes/no radio buttons using JQuery's "Custom Handler", this article deals with another binding problem, two way binding of an ObservableArray to a Checkbox List. Again jQuery's "Custom Handler" comes to the rescue.

Assume a custom handler as in the following:

/// ---------------------------- /// This binding is used to bind arrays of integer values to checkboxes
ko.bindingHandlers.checkedIntValues =
{
  init: function (element, valueAccessor, allBindingsAccessor, viewModel, bindingContext)
  {
    var currentValues;    // event handler for the element click event
    var updateHandler = function ()
    {
      var boundItemIndex;
      var currentValues = ko.utils.unwrapObservable(valueAccessor());
      var boundValue = ko.utils.unwrapObservable(allBindingsAccessor().value);      
     // get the index of the bound value in the array of current values
      boundItemIndex = ko.utils.arrayIndexOf(currentValues,
                                             boundValue);
      if ((element.checked) &&
          (boundItemIndex < 0))
      {
        // bound value is not in current values and checkbox is checked so add it
        currentValues.push(boundValue);
      }
      else
      {
        if ((!element.checked) &&
            (boundItemIndex >= 0))
        {
          // bound value is in current values and checkbox is not checked so remove it
          currentValues.splice(boundItemIndex,
                               1);
        }
      }
    };    // make sure the data being bound is an array
    currentValues = ko.utils.unwrapObservable(valueAccessor());
    if (!(currentValues instanceof Array))
    {
      throw "checkedIntValues binding can only be used with array data";
    }    // register click handler for element
    ko.utils.registerEventHandler(element,
                                  "click",
                                  updateHandler);
  },
  update: function (element, valueAccessor, allBindingsAccessor, viewModel, bindingContext)
  {
    var value = ko.utils.unwrapObservable(valueAccessor());
    var boundValue = ko.utils.unwrapObservable(allBindingsAccessor().value);    
   element.checked = ko.utils.arrayIndexOf(value, boundValue) >= 0;
  }
};
In HTML do following:
<div class="selections" data-bind="foreach: YourObservableArray">
    <input class="contactType" 
    type="checkbox" data-bind="checkedIntValues: $root.YourSelectedValuesObservableArray,value: YourIdProperty" /> 
<label data-bind="  text: YourTextProperty"></label><br />
</div>

Where
YourObservableArray: is the the observable array for all available items
YourSelectedValuesObservableArray: is the observable array for all selected values, that you may want to preselect,
keep it blank if you do not want any checkbox in the list to be checked.
YourItemIdProperty: is the Item's property to be selected.
YourItemTextProperty: is the item's property to be displayed.
For example:
YourObservableArrayName  = [{YourItemIdProperty:1,YourItemTextProperty:"ankur"},{YourItemIdProperty:
2,YourItemTextProperty:"malik"},{YourItemIdProperty:3,YourItemTextProperty:"shikhar"}]
YourSelectedValuesObservableArray =[1,2]
Then the checkbox list will have 3 checkboxes with the first two checkboxes checked and the last one unchecked.
Now if you uncheck the first two checkboxes and check the last checkbox then "YourSelectedValuesObservableArray" will be [3].
Hope that would help somebody.
Thanks...