How do I set up key-value observing of an aggregate property over an array, like a sum?

Say I have a Bulb class with a boolean "lit" property. I have an NSArrayController with an array of Bulbs, being shown in a table view. To compute the number of lit bulbs I can do:
        - (unsigned) litCount {
return [_bulbArrayController valueForKeyPath: @"[EMAIL PROTECTED]"];
        }

Now if I want to display this count in my UI, I need to get notifications of when it changes. But what keypath do I observe? I've tried "[EMAIL PROTECTED]", and I don't get any exceptions, but the observer never triggers when I change the "lit" property of a bulb in the array.

—Jens

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