Guys, FlasherZ is correct here. I'm not licensed, but I've done a lot of electrical work and was an electrician in the US military for 6 years (Navy). Continuous load rating = 80A, requires a circuit capable of 100A. That negates the use of NM 2/3. For something this high powered, I wouldn't be comfortable using NM anyway, even if it was within current ratings. I'd use #3 THHW, THWN, or THHN in EMT conduit on a 100A breaker if the run is short, or #2 if the run is long.
Don't forget also that you must look at your incoming service and make sure your total loads are within the panel, service, and main breaker capacities. (Section 220.40 and 220.82 of the NEC). Given that most home dwellings have a panel, main breaker, and service conductors sized to the minimum required for the existing circuits in the house, adding a 100A circuit will likely require at least one of these items to be upsized. If the incoming service needs to be upsized, this requires a meter pull, and that's best left to the professional licensed electricians. It may even require a new drop from the pole, which the utility will have to be involved with.
Using incorrect wiring types and forgoing load/circuit calculations is a good way to come home to smoldering embers where there used to be a garage. We're not twisting speaker wires together here. This is 20 KW of power going down those conductors; they better be installed right.