A number of posters have said that, if not offered any preferred schools, one should still accept the school offered, and go on the waitlist for the preferred school, launch appeals etc.
They then say something about the LA having discharged its duty if you refuse.
If there is no way one would send one's DC to the offered school (even if it means one has to home school while waiting for a place at one of the preferred schools, even if one doesn't really think one has the skills to home school properly, but that the home schooling would still be a better education than the offered school), why would one accept? Wouldn't one find oneself being fined for not sending one's kid to the offered school if the appeals/wait lists don't come through?