Maths Olympiad Prep

Library / /12 of 57

, 2003

Combinatorics Difficulty 2.0 Junior Prove it Canada

How many distinct numbers may be obtained as a sum of one or more different numbers from the set {1,10,100,1000}\{1, 10, 100, 1000\}? Calculate the power-sum for this set.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.