Math
posted by Teresa .
This is how the problem starts. All the cbana doors start out being closed. Student assigned to cabana 1 opens the doors on all 100 cabanas. The students assigned to cabana #2then closes doors on all cabanas whose numbers are multiples of 2. Th e student assisgned to cabana #3 then changes the state of all cabanas whose numbers are multiples of 3 ex: the door on cabana #3 which is open gets closed, and cabana #6 which is closed get opened. Come up wit some sort of system to simulate the opening and closing of the doors
Ah, a restatement of the locker problem.
While not stated in your original problem, I presume you have 100 students, not just 3.
At the end of the day, the open doors will be those numbers that have an odd number of factors. These will only be numers that are perfect squares. (1,4,9,...). All other doors will be closed.
Respond to this Question
Similar Questions

Math
Imagine there are 100 lockers. Each locker is given a number 1100. When the students are assigned to their lockers, the 1st student runds down the row of lockers and opens every door, student #2 closes the doors of locker #'s, 2,4,6,8, … 
Math
Newon Middle School has a hall with 500 lockers, all of which are closed. Five hundred students start down the hall. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third … 
9th grade
A new high school has just been completed. There are 1,000 lockers in the long hall of the school and they have been numbered from 1 to 1,000. During lunch, the 1,000 students decide to try an experiment.  The first student, student … 
math
On a T.v. game show a contestant is asked to select a door and then is rewarded with the prize behind the door selected. If the doors can be selected with equal probability what is the expected value of the selection if the three doors … 
Science
A researcher designs an experiment to determine if German Shepherds prefer pet doors that opens from the side or from the top. He installs two pet doors sidebyside in the same wall. The pet door that opens from the top is designed … 
math
the 20 students in Mr. Wolf's 4th grade class are playing a game in a hallway that is lined with 20 lockers in row. the 1 student starts with the first locker and goes down the hallways and opens all lockers. the 2 student starts with … 
Physics
You (m=75.0 kg) are floating outside your space station, and oh no a siren sounds, and the doors start to close! At the instant the siren sounds, you are exactly 10.0 m from the station doors and floating away from the space station … 
Math
Reasoning Word Problem: A school's lockers are numbered 1100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the evennumbered lockers. The third student either … 
Math Word Problem(PLEASE HELP NOW)
Reasoning Word Problem: A school's lockers are numbered 1100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the evennumbered lockers. The third student either … 
English
What doors are open to you that may not have been open to generations before us,and why might it be difficult to face these doors