Let D18 denote the set of positive divisors of 18. For d D18 let Sd =
Question:
(a) Show that the collection Sd, d ∈ D18, provides a partition of {1, 2, 3, 4, ... , 17, 18}.
(b) Note that |S1| = 6 = ϕ(18) and |S2| = 6 = ϕ(9). For each d ∈ D18, express |Sd| in terms of Euler's phi function.
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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