Computer-based tests with randomly generated questions allow a large number of different tests to be generated. Given a fixed number of alternatives for each question, the number of tests that need to be generated before all possible questions have appeared is surprisingly low.
@article{arxiv.1002.2114,
title = {Applying coupon-collecting theory to computer-aided assessments},
author = {Charles M. Goldie and Rosie Cornish and Carol L. Robinson},
journal= {arXiv preprint arXiv:1002.2114},
year = {2010}
}
Comments
19 pages; bibliographic information added as follows. To appear in Bingham, N. H., and Goldie, C. M. (eds), Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman. London Math. Soc. Lecture Note Series. Cambridge: Cambridge Univ. Press