Angularjs Multidimensional array and two relative select boxes

I have a multidimensional array that holds the product names and versions. I want to create an interface that lets the user select the product from a select box, and then the version number in the second select box. The second select box should only show the versions numbers of the product that the user selected in the first select box.

This is my mutidimensional array:

[Object]0: 
         name: "Product 1"
         versions: [Array]0:
                           number: "1.0"
                           number: "1.5.2"
        1: 
         name: "Product 2"
         versions: [Array]0:
                           number: "0.0"
                           number: "0.5"

The user has the option to choose multiple products, so I created an array to hold the users selection.

my controller is setup like this:

app.controller('mainController', function ($scope) {

    $scope.products = [{id: 1, name: '', versions: []}];

  $scope.packages = [];
  $scope.packages[0] = { id: 1, name: 'Product 1', versions: [{number: 1.0}, {number: 1.5}, {number: 2.0}]};
  $scope.packages[1] = { id: 2, name: 'Product 2', versions: [{number: 0.1}, {number: 0.2}, {number: 0.3}]};

    $scope.addProduct = function(){
    var id = $scope.products.length + 1;
    $scope.products.push({id: id, name: "", version: []});

  };
});

And the select boxes are setup like this with angularjs:

    <div  ng-repeat="product in products">
       <label>Product</label>
       <select ng-model="product.product" ng-options="package.name for package in packages" class="form-control"></select>

       <label>Version</label>
       <select ng-model="product.versions" ng-options="version.number for version in product.versions" class="form-control"></select>
</div>
<button ng-click="addProduct()">Add Product</button>

What I tried to do was setup the ng-options to select the versions object of the current product. But this doesn't work.

I created a jsFiddle of what I currently have: http://ift.tt/1U1n0L7

I would really appreciate any suggestions on how to link the version select box with the product selected.

TIA