6th Grade Principle of Inclusion and Exclusion: Problem 3

Problem: 2006 lanterns are lit along a street, each labeled from 1 to 2006. They have one button that controls whether they are lit or not lit. Amie walks along the row of lanterns and presses the buttons on all of the ones that have been labeled a multiple of 2. She does the same to the ones that have been labeled a multiple of 3, and then 5. How many lanterns are lit after she is done?

Key: Find central value

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