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Kipar
post Jun 20 2008, 02:52 PM
Post #1





Group: Članovi
Joined: 28-October 06
Member No.: 170
Status: Učenik MGa
Škola/Razred: Matematicka IVc bio , sada vec kolega sa FON-a
4 osobe 5 knjiga , na koliko nacina mozemo podeliti knjige tako da svaka osoba dobije bar po jednu knjigu? i sve knjige da budu podeljene

This post has been edited by Kipar: Jun 20 2008, 02:54 PM


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Slovenatz
post Jun 20 2008, 03:52 PM
Post #2





Group: Članovi
Joined: 25-February 07
From: Šupak kosmosa
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Mozda gresim, ali ako svaka osoba mora da dobije jednu knjigu onda imas 5*4*3*2 ( a.k.a 5! ) nacina da razdelis svakoj po jednu, i ovu preostalu mozes da das jednoj od 4 osobe. Dakle 4*5!


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pyost
post Jun 20 2008, 04:58 PM
Post #3


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Joined: 25-January 06
From: Beograd
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Ne, mislim da ima manje... Neka su knjige A, B, C, D i E. Dva razlicita rasporeda, bez pete knjige, su sledeci:

ABCD
AECD

Medjutim, bice poklapanje ako drugoj osobi damo preostalu knjigu, u oba slucaja ce imati BE wink.gif


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Kipar
post Jun 20 2008, 05:40 PM
Post #4





Group: Članovi
Joined: 28-October 06
Member No.: 170
Status: Učenik MGa
Škola/Razred: Matematicka IVc bio , sada vec kolega sa FON-a
bravo pyoste.. ali koliko manje?


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Slovenatz
post Jun 20 2008, 05:54 PM
Post #5





Group: Članovi
Joined: 25-February 07
From: Šupak kosmosa
Member No.: 454
Status: Učenik MGa
Škola/Razred: MG-IIId
E da, mudro zboris...


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Kipar
post Jun 20 2008, 07:58 PM
Post #6





Group: Članovi
Joined: 28-October 06
Member No.: 170
Status: Učenik MGa
Škola/Razred: Matematicka IVc bio , sada vec kolega sa FON-a
pa ajde , reshite..


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pyost
post Jun 20 2008, 08:18 PM
Post #7


Deus Ex Makina
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Group: Administratori
Joined: 25-January 06
From: Beograd
Member No.: 2
Status: Bivši učenik MGa
Škola/Razred: RAF
Mozda ovako... Posmatramo onog ko ima dve knjige - za to postoji 5*4/2 = 10 mogucnosti. Biramo onog koji ce da ima dve knjige, i jednu od kombinacija, sto je 40 mogucnosti. Preostale tri knjige rasporedimo na one koji su ostali na 3*2*1 nacina. Zajedno sa onim sa dve knjige imam 240 nacina.


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Kipar
post Jun 20 2008, 08:51 PM
Post #8





Group: Članovi
Joined: 28-October 06
Member No.: 170
Status: Učenik MGa
Škola/Razred: Matematicka IVc bio , sada vec kolega sa FON-a
taj fazon..


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