!!! Really ?? ...."If someone trips over your wires and disconnects 49 strings,...Smoke" ..... Are you serious ??For example, say you use a constant current supply of 1Amp.
Then have 50 strings of LEDS to run at 20mA each. (assuming current sharing works)
Someone trips over your wires and disconnects 49 strings, Then the last remaining string has the full 1A driven through it. SMOKE!.
OP is planning to run the leds at 10mA .... There are slight variations in leds , but if selected randomly these will almost even out so perhaps one string of 20 will draw 9.93 mA ... another might take 10.08 .. all the rest somewhere in between , no noticeable difference in light , no overloading....
Our poor OP has been bombarded with conflicting advice ... I play a lot with leds , and can assure him it will work fine without resistors ...
Please try it first with no resistors and confirm it's OK.