The council brought in the system saying more pupils would have a better chance of entering popular schools.
The admissions scheme still has catchment areas, but a lottery will be used for oversubscribed schools.
The adjudicator Canon Lindley heard objections from parents at a public meeting in the city. A statement issued by the adjudicator said all 51 objections by parents were rejected.
It said he noted that "random ballots proposed by the city council are intended only to differentiate between children when there are too many applicants from within any catchment area".
Related articles:
