The Number of Ways of Grading Examination Candidates

Candidates are graded by their examination results in some such way as 1st B; 2nd equal A, D; 4th equal C, E; and so on. In how many ways g n can n candidates be graded? This problem was solved by Cayley [1, pp. 374-378] and later by others. It does not seem to be well known, and the following resul...

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Bibliographic Details
Published in:Mathematical gazette 2003-03, Vol.87 (508), p.34-35
Main Authors: Tutte, W. T., Cedric A. B. Smith
Format: Article
Language:English
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Summary:Candidates are graded by their examination results in some such way as 1st B; 2nd equal A, D; 4th equal C, E; and so on. In how many ways g n can n candidates be graded? This problem was solved by Cayley [1, pp. 374-378] and later by others. It does not seem to be well known, and the following result may be of interest.
ISSN:0025-5572
2056-6328
DOI:10.1017/S0025557200172079