OP,
Was your daughter applying for a compettive course. At the Warwick Open day they were clear. They would receive over 2000 qualified candidates for the 300 or so available places. No interviews so candidates should be careful to make sure their PS etc were good.
I assume something similar is on the website.
The website at LSE says:
"As you will see from the individual programme information, there is a great deal of competition for places at the School. In 2013, we received 17,000 applications for 1,400 places. This means that if you are predicted or if you achieve the grades set out in the standard offer, unfortunately this will not guarantee you an offer of admission."
The ratio of applicants to places on my son's course was 13:1. A proportion of early applications were held in a "gathered field" until all on-time applications had been received, so they can be given equal consideration. Other qualified candidates would have been rejected early.
- Your DDs school should have helped explain the process. A big advantage of the UK system is that Universities don;'t take all qualified candidates and then have a high proportion drop out after a year. Instead if offered a place it is assumed you will complete the course.
- The UK is lucky to have a number of world ranked courses and departments. Entry for some is, inevitably, very competitive. We were fortunate that DSs school had warned that though he was a strong candidate and should apply, it would be tough. In his case despite a 4xA* prediction and what would have been a sound school report and PS, he got three rejections. However he also got a good offer. You only need one.
- University rankings wont tell you how popular a course is. Exeter, for example, is a popular place to study so application numbers tend to be high. (Which may explain their bizarre offers. Perhaps to manage numbers they may want to discourage people using them as insurance.)
Each University will have developed its own selection criteria. Obviously results matter. But for the rest it is good that there are differences. Better to have three good candidates each have an offer and two rejections than for one to have three offers and the others to have none. (Not quite as simple as that, but you can get my point.)
Why did DS get one and not the others. Guesswork only, but we think Cambridge prioritised really strong mathematicians, and Warwick liked languages. He thinks he may have had a bit of an edge at LSE because his fourth A level was humanities rather than science. Who knows.
OP don't worry. Your DD has done well. And I doubt anyone thinks you are stupid. However some may be surprised that the school did so little to ensure students and parents understood how the process worked.