For what it's worth I *thought* I had the same problem others report: bought MDP to HDMI, video goes to TV just fine, but no audio, system preferences sound shows hdmi option but still no sound, etc.
My MDP to HDMI is from monoprice.com. On a mbook air 13".
It was sort of a nonsense solution: I went through my TV's sound settings and there was an option to turn off the TV's built in speakers. I used this to just turn them off and turn them back on again and voila, I got sound.
I don't doubt a lot of other TV's may have some silly glitch like this.
Anyways, yet another cheap MDP to HDMI cable does, in fact, transmit audio from a macbook air, nothing wrong with my macbook or my cable, just a weird TV property.
Worth fiddling with your TV sound properties.