You can offer any or all of the properties you own for lease or purchase. If you are asking homw many you can make an offer on the same is true, but you may not want to lease or pruchase more than one at a time.
I am not sure if you are asking how many do I have to offer as in what is avaialable or How many offers can you submit at one time? Regardless, I do not have direct access to that MLS system. I am however a National Relcation Specialist and would be glad to put you in contact with a top agent in that area. Please let me know if I can help with that.