Dear jameel,

It depends upon on what Colleges you put in the list during the time of counseling and in what order.  With a score of 560 you have a fair chance to secure a government medical seat via all India quota but for medical seat  via state Quota I would need to know your domicile state. 560 is a decent score which can fetch you a government medical College though keep in mind that each year the cut off fluctuates

Dear candidate,
Colleges is totally depend on the marks you got and the rank. Different states have their own criteria for seats to allote. Under state quota the 85 percent reservation for state students and under all india quota the 15 seats for the other state students.

As you have not mentioned about any state, its difficult to say about any college with any information. Much chance for state quota seat, and also have chance for the some other states.

For that here I am providing you with the link of our site portal to predict your college by just mentioning your information for the college and know you applicable colleges.

Follow the below link to predict your college:
https://medicine.careers360.com/neet-college-predictor

Hope this information helps you to get college details.  
Thank you