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My brand new iPad greeted me with a greyed out Wi-Fi option (and “Unavailable” for Bluetooth) in Settings. What a nice welcome.
Here’s how I fixed it: put the iPad into recovery mode (hold down both the power button and home button for about 10 seconds / until you see the iTunes logo on the screen), then use iTunes to restore, and finally set it up as a new iPad (so don’t restore from your previous backup).
Good luck!