A normally closed switch, N.C. would be something like an oil sender, At start up, no oil pressure, then the switch has continuity until engine is started and oil pressure builds up and then it opens, and the light goes out. Normally closes switch would also apply to a phone jack. The switch is closed until you plug a phone plug which opens the switch.
A normally closed switch is closed when the switch is connected. You would not want it to be connected when you turn the master power on. The power for the deck clutch is coming from the battery, probably through a fuse, and should go to a terminal that will supply voltage to another terminal when activated. Without the engine running, and you apply power, all you will hear is a click as the electric clutch is engaged. However if you wire it up wrong, as soon as the engine is running, the deck clutch has voltage, and the blades are spinning. Just wire it up using some good logic. If you have a factory switch, just replace it.
Most switches are used in the N.O. mode for obvious reasons. Drills, motors, etc.