Nope, they keep polling until someone gets a majority of the entire House. Since no one’s going to cross the aisle to vote for Pelosi, if there are 29 or more GOP votes agains Boehner, we could get Boehner on the first vote if enough ‘Rats vote for him on the first ballot, rather than Pelosi, or we could go to a second ballot after a lot of horse-trading.
I’m afraid most likely result of 29+ anti-Boehner votes on the first ballot is a bunch of concessions from Boehner to enough of antis to get them back in the fold followed by Boehner on the second ballot, or Boehner on the second ballot with ‘Rat support.
I wouldn’t put it past the ‘rats to vote for Boner in order to thwart the conservatives.
After all, to them, it would be better for Boner to be there than someone the conservatives would vote for.
And, vice versa for the GOPe - better that a democRat win than a conservative.
Whatever way it happens, it should leave no doubt in anyone’s mind that We the People have no say.