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> Resenje Please!

Anchi
post Nov 9 2006, 09:03 PM
Post #1





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Treba mi pomoc od malo starijih, ili bilo koga ko zna da mi resi:

Neka je f:A-->B. Ako A ima m elemenata, a B n elemenata, koliko ima "na" odnosno surjektivnih funkcija?
Ja sam nesto pocela, ali ako neko zna da mi resi detaljno please!!!!!!!!!!!!
Bilo bi pozeljno da ga donesem uradjenog na analizu... Ajde 2d, vi bi barem trebalo da znate... pleaseeeeee :33gc2:
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Puzzler
post Nov 11 2006, 12:40 PM
Post #2





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Hm...
Evo, ja sam rešio...

Ako prvi skup (A) ima m elemenata a drugi ( skup B ) n elemenata, tada prvo važi m{\le}n, da bi to bilo na preslikavanje wink.gif
Tada svaki element iz B mora imati sliku iz nekog elementa iz A...
To se prvom može pridružiti m elemenata, drugom (m-1), trećem (m-2),... n-tom (m-n+1). To je ukupno {\frac{m!}{(m-n)!}...
Tada je u skupu A ostalo još m-n nepovezanih elemenata...
Njih možemo povezati na n^{m-n} načina.
Tada svakom članu iz A odgovara jedan iz B, a svakom iz B bar jedan iz A, pa je ovo na preslikavanje wink.gif
Dakle, broj načina je {\frac{m!}{(m-n)!}{\cdot}n^{m-n}.

Uh, ovo je bilo zaj**ano XD.gif


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pyost
post Nov 11 2006, 03:54 PM
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QUOTE(pyost @ Nov 9 2006, 10:33 PM)
m*(m-1)*(m-2)*\quad\cdots\quad*(m-n)*n^{m-n}
*



QUOTE(Puzzler @ Nov 11 2006, 12:40 PM)
Hm...
Evo, ja sam rešio...

{\frac{m!}{(m-n)!}{\cdot}n^{m-n}
*



Tvoje \quad resenje \quad * \quad (m-n) \quad = \quad Moje \quad reesnje

smile.gif Jos samo da saznamo sta je tacno...


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Posts in this topic
Anchi   Resenje Please!   Nov 9 2006, 09:03 PM
pyost   RE: Resenje Please!   Nov 9 2006, 09:34 PM
Anchi   RE: Resenje Please!   Nov 9 2006, 09:48 PM
pyost   RE: Resenje Please!   Nov 9 2006, 10:00 PM
Anchi   RE: Resenje Please!   Nov 9 2006, 10:03 PM
pyost   RE: Resenje Please!   Nov 9 2006, 10:33 PM
smorko_gusic   RE: Resenje Please!   Nov 9 2006, 10:41 PM
pyost   RE: Resenje Please!   Nov 9 2006, 10:44 PM
maxydelanoche   RE: Resenje Please!   Nov 9 2006, 11:07 PM
smorko_gusic   RE: Resenje Please!   Nov 9 2006, 11:09 PM
Anchi   RE: Resenje Please!   Nov 9 2006, 11:37 PM
pyost   RE: Resenje Please!   Nov 10 2006, 12:33 AM
smorko_gusic   RE: Resenje Please!   Nov 10 2006, 04:35 PM
^_NiN0_^   RE: Resenje Please!   Nov 10 2006, 06:54 PM
Anchi   RE: Resenje Please!   Nov 10 2006, 08:40 PM
Puzzler   RE: Resenje Please!   Nov 10 2006, 09:17 PM
RZA   RE: Resenje Please!   Nov 10 2006, 09:20 PM
Anchi   RE: Resenje Please!   Nov 10 2006, 10:06 PM
maxydelanoche   RE: Resenje Please!   Nov 10 2006, 11:49 PM
Puzzler   RE: Resenje Please!   Nov 11 2006, 09:24 AM
pyost   RE: Resenje Please!   Nov 11 2006, 01:45 PM
^_NiN0_^   RE: Resenje Please!   Nov 11 2006, 12:14 PM
Puzzler   RE: Resenje Please!   Nov 11 2006, 12:40 PM
pyost   RE: Resenje Please!   Nov 11 2006, 03:54 PM
Puzzler   RE: Resenje Please!   Nov 11 2006, 02:17 PM
jeele   RE: Resenje Please!   Nov 11 2006, 03:00 PM
jeele   RE: Resenje Please!   Nov 11 2006, 03:06 PM
Puzzler   RE: Resenje Please!   Nov 11 2006, 03:29 PM
Legenda   RE: Resenje Please!   Nov 11 2006, 10:01 PM
Anchi   RE: Resenje Please!   Nov 11 2006, 10:05 PM
^_NiN0_^   RE: Resenje Please!   Nov 12 2006, 12:29 AM
Anchi   RE: Resenje Please!   Nov 12 2006, 12:35 AM
^_NiN0_^   RE: Resenje Please!   Nov 12 2006, 03:40 PM
Anchi   RE: Resenje Please!   Nov 12 2006, 10:01 PM
pyost   RE: Resenje Please!   Nov 12 2006, 10:15 PM
Puzzler   RE: Resenje Please!   Nov 12 2006, 10:20 PM
pyost   RE: Resenje Please!   Nov 12 2006, 10:21 PM
Puzzler   RE: Resenje Please!   Nov 12 2006, 10:27 PM
Anchi   RE: Resenje Please!   Nov 12 2006, 11:34 PM
maxydelanoche   RE: Resenje Please!   Nov 12 2006, 11:59 PM
RZA   RE: Resenje Please!   Nov 13 2006, 12:36 AM
Puzzler   RE: Resenje Please!   Nov 13 2006, 08:31 AM
Anchi   RE: Resenje Please!   Nov 13 2006, 11:12 AM
RZA   RE: Resenje Please!   Nov 15 2006, 09:23 PM
pyost   RE: Resenje Please!   Nov 15 2006, 10:27 PM
RZA   RE: Resenje Please!   Nov 15 2006, 11:32 PM
Anchi   RE: Resenje Please!   Nov 16 2006, 08:00 PM
RZA   RE: Resenje Please!   Nov 16 2006, 10:34 PM
Anchi   RE: Resenje Please!   Nov 17 2006, 12:47 AM
Puzzler   RE: Resenje Please!   Nov 17 2006, 10:45 PM
maxydelanoche   RE: Resenje Please!   Nov 21 2006, 06:20 PM
SerGrimReaper   RE: Resenje Please!   Nov 21 2006, 08:15 PM
pyost   RE: Resenje Please!   Nov 21 2006, 08:18 PM
SerGrimReaper   RE: Resenje Please!   Nov 21 2006, 08:22 PM
RZA   RE: Resenje Please!   Nov 21 2006, 11:02 PM
Anchi   RE: Resenje Please!   Nov 22 2006, 01:37 PM
RZA   RE: Resenje Please!   Nov 22 2006, 10:44 PM
SerGrimReaper   RE: Resenje Please!   Nov 22 2006, 04:08 PM
maxydelanoche   RE: Resenje Please!   Nov 24 2006, 07:09 PM
RZA   RE: Resenje Please!   Nov 24 2006, 07:52 PM
jeele   RE: Resenje Please!   Nov 25 2006, 02:43 PM
RZA   RE: Resenje Please!   Nov 25 2006, 03:15 PM
maxydelanoche   RE: Resenje Please!   Nov 26 2006, 07:35 AM
SerGrimReaper   RE: Resenje Please!   Nov 26 2006, 03:11 PM
RZA   RE: Resenje Please!   Nov 26 2006, 03:41 PM
Eli0t   RE: Resenje Please!   Nov 26 2006, 03:56 PM
SerGrimReaper   RE: Resenje Please!   Nov 26 2006, 04:34 PM
Ana   RE: Resenje Please!   Dec 30 2006, 10:03 PM
jeele   RE: Resenje Please!   Mar 23 2008, 06:51 PM
Nostradamus   RE: Resenje Please!   Mar 23 2008, 07:34 PM
jeele   RE: Resenje Please!   Mar 23 2008, 08:00 PM
pyost   RE: Resenje Please!   Mar 23 2008, 08:03 PM
jeele   RE: Resenje Please!   Mar 23 2008, 08:40 PM
The snorks   RE: Resenje Please!   Mar 23 2008, 09:36 PM
Nostradamus   RE: Resenje Please!   Mar 24 2008, 09:15 AM
Puzzler   RE: Resenje Please!   Mar 24 2008, 02:03 PM
jeele   RE: Resenje Please!   Mar 24 2008, 04:46 PM


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