Is there a way to get a fixed number of random rows from an SQL table while allowing for repetions

For the example here we will use the table NAMES and I need 3 rows returned.

id	name
1	Alpha
2	Beta
3	Chi
4	Delta
5	Epsilon

I know the code SELECT * FROM names ORDER BY RAND() LIMIT 3; will return 3 randomized rows. But it is exclusively three different rows.

Is there a way to in a query get three rows that do not influence each other, and thus allow for repetion? So a result could be Beta, Alpha, Delta. Or Beta, Epsilon, Beta, or even Beta, Beta, Beta.