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(310) 7

Part of 1991 Tournament Of Towns

Problems(1)

TOT 310 1991 Autumn A J7 n children divide m identical pieces

Source:

6/9/2024
nn children want to divide mm identical pieces of chocolate into equal amounts, each piece being broken not more than once. (a) For what nn is it possible, if m=9m = 9? (b) For what nn and mm is it possible?
(Y. Tschekanov, Moscow)
combinatorics