>odds of none makeing new queens are extremly slim! I am betting you now get 3 hives going well by july!
Watch the nucs as they develop. If you like , and also to control further swarming in your new hive as it strengthens again, take a frame of brood from parent hive (shake bees off) add to weaker nuc. This will strengthen the nuc and help control the swarming in the parent hive.
Get a copy of increase essentials by Larry Connor. a good read and it explains nucs and different ways to set them up
. Also explains how many frames (lbs) of honey he suggest as feed for each type nuc. If I had it I would quote it here--- but I loaned it to a friend