The big Switch-eroo Mathematics

Apr 20th, 2015
Price: $5 USD

Question description

In a certain electrical company warehouse there were 2000 light switches lined up

along one wall and 2000 employees. At the end of each year, the employees would line

up and perform the following strange ritual: Before the

beginning of the ritual, all of the

switches were turned off. The first employee turned every light switch on. The second

employee went to every second switch and turned it off. The third employee went to

every third light switch and changed it (i.e., if the switch was on, the employee turned it

off; if it was off, the employee switched it on). In a similar way, the fourth, fifth, sixth,...

employee changed every fourth, fifth, sixth,... light switch. After all 2000 employees

had passed by the switches, which switches were on?

Tutor Answer

(Top Tutor) Daniel C.
School: Cornell University

Studypool has helped 1,244,100 students

Review from our student for this Answer

Apr 21st, 2015
"Goes above and beyond expectations !"
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors