Consider the following statements about the eighteenth century origins of three regional Indian kingdoms:

1. The Nizamat of Arcot (Carnatic) arose directly out of the erstwhile Hyderabad State.

2. The Mysore Kingdom under the Wodeyars emerged out of the declining Vijayanagara Empire's dominions.

3. The Rohilkhand Kingdom was founded out of territories earlier occupied by Ahmad Shah Durrani.

How many of the statements given above are correct?