From Frankfurt to Lubeck- Which is cheaper?

I am a student going for a student exchange program in Lubeck from India. We are six students going together. We were planning to take a connecting flight from Bangalore to Frankfurt, and then Frankfurt to Hamburg. From there most probably we will take a train. However, we are contemplating on taking a direct flight to Frankfurt and then take a train to Lubeck. I want to know

1) What will be the fare for taking a train from Frankfurt to Lubeck

2) What will be the procedure for going by train to Lubeck after arriving at Frankfurt Airport, in case we buy the tickets only then

3) What in your opinion is the cheaper mode of transport: by connecting flights through Hahmburg OR by train from Frankfurt.

Please advice me on this, specially requesting those who have recently travelled from Bangalore to Lubeck

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Best deal from Frankfurt Airport to Lübeck will be Rail%26amp;Flight tickets.

bahn.de/international/…rail_fly.shtml

Prices are set by the airline (if taking part in this program at all).

E.g. Lufthansa sells these tickets for EUR 20.

Other train specials are only valid for the connection bought for - which becomes a problem if your plane arrives late. Standard fare (flexible) is EUR 114.

From Hamburg Airport to Lübeck you could travel using one mini group (5 persons) ticket (EUR 29,40) and one single ticket (EUR 11,90). You can buy these tickets on spot from ticket machines at Hamburg Airport train station.