Service tax and income tax on renting of house property

Hi,

Just wanted to confirm that if I rent out a flat/factory premises which is:

1) Immovable Property as per the head of service 'Renting of Immovable Property' as per Service Tax

2) House Property as per the head of income 'Income from House Property' as per Income Tax

Is the same property taxable at both the places? Or is there some kind of double taxation benefit with the Service Tax and Income Tax bracket?

Also, wanted to confirm that the TDS on such receipts has no bearing/relation to Service Tax, is this correct?