$1.00 Math Project #2 lockers

• From Education: Elementary-Education
• Due on Oct. 19, 2008
• Asked on Oct. 18, 2008 at 11:14:18AM

Q:

Imagine a long hallway in a school with 5,000 lockers along one wall,numbered consecutively from 1 to 5,000. All the lockers are initially closed but unlocked. Imagine also 5,000 students, each numbered consecutively from 1 to 5,000, who will walk all the way along the hallway changing the position(either from open to closed or closed to open) of certain locker doors. The rule as to which lockers are changing is: the first student changeds every door, the 2nd student changes every other door(starting a locker #2) the 3rd students changes every third door and so on. At the end of this process, how many lockers are open and how many are closed.

 

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