Accepted answer

I finally solved it (sorry I had to answer my own question), thanks to Pawel Fus's enlightening comment :)
First I added the drill down module:

    <script src=""></script>

Next I followed this answer and added some code to the highcharts-ng lib:
Highcharts-ng with drilldown

Finally I put the drilldown attribute under the option attribute as mentioned here:

Here is the final woorking plunker:

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