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Problem

Published online by Cambridge University Press:  03 November 2016

H. W. Lowry*
Affiliation:
Timberley Carlton Road, Sidcup

Extract

Eight couples have a five-course dinner. They start with 2 couples at each of four tables and finish with 2 couples (not the same two) at each table. After each course some men and women change tables, but maintain 2 men and 2 women at each table. The problem is to arrange these changes so that each person meets as many others as possible: that is, each man meets 5 other men and 8 women and each woman meets 5 other women and 8 men.

Type
Research Article
Copyright
Copyright © Mathematical Association 1970

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References

Note on page No 160 * See problem 68–3 SIAM REVIEW vol. 10, no. 1, Jan. 1968