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 Posted: Thu Oct 05, 2006 5:17 pm
First think who will operate each bulb, obviously person #2 will do all the even numbers, and say person #10 will operate all the bulbs that end in a zero. So who would operate for example bulb 48: Persons numbered: 1 & 48, 2 & 24, 3 & 16, 4 & 12, 6 & 8 ........ That is all the factors (numbers by which 48 is divisible) will be in pairs. This means that for every person who switches a bulb on there will be someone to switch it off. This willl result in the bulb being back at it's original state. So why aren't all the bulbs off? Think of bulb 36:- The factors are: 1 & 36, 2 & 13, 6 & 6 Well in this case whilst all the factors are in pairs the number 6 is paired with it's self. Clearly the sixth person will only flick the bulb once and so the pairs don't cancel. This is true of all the square numbers. There are 10 square numbers between 1 and 100 (1, 4, 9, 16, 25, 36, 49, 64, 81 & 100) hence 10 bulbs remain on.
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Posted: Thu Oct 05, 2006 5:19 pm
I swear if you don't tell me I will gouge out your eyes with my spork!!
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Posted: Thu Oct 05, 2006 5:20 pm
Ahah!..I new it!!
I learned it in math class a week ago....I hated my teacher for it.... stare ...It was on a test too!!
But she made us memorize the answer!
I guess she got it off the internet or something..xPP
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Posted: Thu Oct 05, 2006 5:20 pm
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Posted: Thu Oct 05, 2006 5:20 pm
I WANT TO CHANGE THE WORLD!
blahblahblahblahblahblahblahblaaaaah
CHANGE MY MIND!
bneajhnneaaalkksseshshnela!
Edit-HOMG, IT'S RAZZ.
HIII RAZZ!
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Posted: Thu Oct 05, 2006 5:22 pm
Hey, Spazz.
How's everyone?
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Posted: Thu Oct 05, 2006 5:22 pm
RAZZLE DAZZLE MO NAZZLE!!!!!
-glomphugglecuggleglomplicktakesintotheclosetandsmugglesintohercookiethenwalksaroundwithanextremelylargeRazzcookie-
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Posted: Thu Oct 05, 2006 5:23 pm
RAZZ!!!
*Clings frantically*
JUSTIN TIMBERLAKE SCARES ME WITH HIS FUNNY COMPUTERIZED SONGS!!! gonk
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Posted: Thu Oct 05, 2006 5:23 pm
I'm ok!
Really hyper!
And my tummy hurts!
How is you, Razz?
Edit-I don't think I've heard a Justin Timberlake song.
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Posted: Thu Oct 05, 2006 5:23 pm
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Posted: Thu Oct 05, 2006 5:23 pm
Haha, -huggles back- Hi, Rayne Dayne.
...I'm sorry everyone, I'm just...not in the greatest mood.
EDIT:: @Dee -huggles- J.T. is gay. Dx
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Posted: Thu Oct 05, 2006 5:24 pm
Awe...Razzle should be happeh! crying
J.T. is our school's ech director...xP
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Posted: Thu Oct 05, 2006 5:24 pm
*NodNod*
AWW!!!..I wanna hug Ame!
*Unclings and pounces on Ame, huggling her* ^^
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Posted: Thu Oct 05, 2006 5:26 pm
@Rayne Dayne: I guess. But it's kinda hard to be happy when..hold on, I'll get a link(I can't believe it's on the freaking news. Horrible)
http://nbc24.com/Global/story.asp?S=5502809
My friend, Donovan...I can't believe he did that...
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Posted: Thu Oct 05, 2006 5:31 pm
o_o
...That...scares and depresses me...
*Snuggles Razz* I'm sorry your friend did that!...Was he sad or something.....
Uh, you dun have to talk about it if you don't want to!!
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