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a man has a 7- candle chandellier.

Source: Israel Joseph Gillis Mathematical Olympiad 1998 p4

February 16, 2020
combinatorics

Problem Statement

A man has a seven-candle chandellier. The first evening he lighted one candle for one hour, the second evening he lighted two candles, also for one hour, and so on. After one hour the seventh evening, all seven candles simultaneously finished. How did the man choose the candles to light every evening?