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Acc – 14A

Acc – 14A. The Emily Hopkins School for the Gifted has 1,000 students and 1,000 lockers. The lockers are numbered from 1 to 1,000. The students enter the building one at a time. The first student opens all the lockers (multiples of 1).

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Acc – 14A

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  1. Acc – 14A • The Emily Hopkins School for the Gifted has 1,000 students and 1,000 lockers. The lockers are numbered from 1 to 1,000. The students enter the building one at a time. • The first student opens all the lockers (multiples of 1). • The second student begins with the second locker and closes all the lockers with even numbers (multiples of 2). • The third student changes – either opening closed doors or closing open doors – all lockers that are multiples of 3. • This pattern continues until all students walk past all the lockers. After the last student has gone past all the lockers, which lockers are open?

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