Do I have to rent to roommates?

[Jatin Patel]

I have a newly renovated 3BR in Texas.  I listed the property and received an applicant from 4 25 year olds, who in aggregate meet the income requirements of the listing. This is a disaster.  I had not intended to rent my new property to 4 partying twenty-something year-olds.  Their application meets the criteria on income and credit.  This is a former residence of mine and the neighbors will NOT be happy to have the house rented not only to a renter, but 4 renters who will come and go, and do more wear and tear on the property than a standard family. 

Do I have any right to not rent to them?

If I have no right, how do I avoid this snafu in the future?