Apologies. I have re-read my post and can see that I sounded smug. That had not been my intention, obviously. We are not in London, and my girls are now 19 and 21 so no doubt not a comparable situation.
It does sound to me, as someone has suggested, that there are not enough places available for average children, or average to bright. The brightest will be fine and will end up with multiple offers. I wonder how many places there are altogether, and how that compares with the number of children who want them, especially once some of them have accepted grammar school places. I'm in Surrey and I suspect we have a better balance between very selective, fairly selective and not at all selective (other than by ability to afford the fees).
I understand why parents apply to so many schools, but if all of them stopped at 4 or 5, and if all of those holding multiple offers gave them up promptly, I suspect there would be much less heartache all round. I completely understand why they don't, of course, if they're also waiting to hear about wait lists at other schools or about grammar places. A UCAS type clearing system could help with that, I think.
At this time of year, there always seem to be lots of people agonising about where their child will end up. I don't remember any threads about children who end with no place in September.
It seems to me that the only beneficiaries of the current system are the schools, who end up with huge numbers of application fees from children who will never get in, with lost deposits from children who never attend because they eventually get a place at a school they prefer, and with the kudos of being able to say that their. school is 10 times over subscribed.
I do wonder how much profit the schools make from the current system.