plane about 1 hour.
train, about 5-6 hours
bus a lot slower.
Plane is also the cheapest way to travel (starts at 30Euros)
For plane tickets checkout Sterling.dk or flynordic.se (shared flights), SAS are a little more expensive, but main reson you should choose Sterling is that they're opeating on a smaller terminal (2) on Arlanda (= faster check-in and safety control).
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