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Mathematics 19 Online
OpenStudy (anonymous):

There are 200 lockers in your school, numbered 1 through 200 consecutively. The lockers are all closed to begin. Student #1 walks down the corridor and opens all the lockers that are numbered with a multiple of 1, thereby all the lockers are opened. Student #2 then walks down the corridor and changes the status (closed lockers are opened; open lockers are closed) of all the lockers that are numbered with a multiple of 2 (note that in the case of Student #2, this only involved closing lockers). Student #3 then walks down the corridor and changed the status of all the lockers that are numbered w

myininaya (myininaya):

...to be continued ....?

OpenStudy (anonymous):

Good story

OpenStudy (smurfy14):

myininaya canu go to my q again and respond thanks?!

myininaya (myininaya):

which one was yours?

OpenStudy (smurfy14):

ln2000=ln20+.825t

OpenStudy (anonymous):

o ard people

OpenStudy (anonymous):

thanks fo nothinnngg

myininaya (myininaya):

you didn't ask us anything

OpenStudy (anonymous):

There are 200 lockers in your school, numbered 1 through 200 consecutively. The lockers are all closed to begin. Student #1 walks down the corridor and opens all the lockers that are numbered with a multiple of 1, thereby all the lockers are opened. Student #2 then walks down the corridor and changes the status (closed lockers are opened; open lockers are closed) of all the lockers that are numbered with a multiple of 2 (note that in the case of Student #2, this only involved closing lockers). Student #3 then walks down the corridor and changed the status of all the lockers that are numbered with a multiple of 3. By the end of this scenario, 200 students will have walked down the corridor, in numerical order, with each student changing the status of those lockers that are numbered with a number that is a multiple of the student’s number. At that point, which of the lockers are open? More importantly, why are these lockers open?

myininaya (myininaya):

ok one sec

myininaya (myininaya):

ok if we looked at lockers 1 through 10; the following lockers would be opened 1,5,6,7,8,9 so let's think about the rest of the lockers now...

myininaya (myininaya):

oops locker 8 is closed

OpenStudy (anonymous):

i have know idea what their looking for here .

myininaya (myininaya):

all the even ones are closed except for the ones that are multiples of 3

OpenStudy (anonymous):

again , i dont know what their asking here .

myininaya (myininaya):

they are asking which of the lockers are open

OpenStudy (anonymous):

so i have to name all the ones thats are open ? and i dont get why the lockers are open ?

myininaya (myininaya):

9 is closed since its a multiple of 3 and i have to go... im sorry

OpenStudy (anonymous):

ughh . okaay . thanks for your help , byebvye ..

OpenStudy (anonymous):

If you come back, I'll help you.

OpenStudy (anonymous):

I'll give you a clue. Think about how many factors numbers have. Most numbers have an even number of factors, because ..... But ....... numbers have an odd number of factors because ..... . The lockers with an even number of factors will end up .... and the ones with an odd number will end up .... If you come back, and don;t get that hint, I'll give some more.

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