Adding Parameters to Node Reference field

Is it possible to add a single parameter to a multiple-selection Node Reference field? Optionally, is there a way to create 1..n Node References, where Nodes can repeat?

Scenario: I have defined a Content Type, Products. While most Products define single real-world items, such as sticks and stones, some products may define groups of existing products, i.e. stick and stone. This is easy enough to set up using a Node Reference that implements either a multi-select box or check boxes, enabling me to link to the "Stick" node and to the "Stone" node.

But what do I do if the Product consists of 4 Sticks and 2 Stones???

Acceptable Cases:

1) A "Quantity" Field for each Product that can be added.
2) An "Add" list... keep hitting "+" and it adds a Node reference to a growing list. Want 4 Sticks? Add it 4 times!