UkubunjwaIikholeji neeyunivesithi

Umzekelo izisombululo kwi kwithiyori amathuba lweenjongo emviwo

Mathematics - oko kuxhomekeke pretty ngeendlela ezahlukahlukeneyo. Ngoku sicebisa ukuba siqwalasele umzekelo zokusombulula iingxaki ngethiyori ngokuqinisekileyo, leyo yenye yeendawo lwemathematika. Sithi ngoko nangoko ukuba ukukwazi ukusombulula imisebenzi enjalo iza kuba luncedo kakhulu ngexesha yoviwo karhulumente emanyeneyo. Iingxaki kwithiyori amathuba eemviwo iqulethe inxalenye B, ngokulandelelana, ilinganiselwe ngaphezulu iqela test ireferensi ye A.

iziganeko Random kunye namathuba abo

Eli qela wafunda eli inzululwazi. Yintoni iyinto? Ngexesha amava zonke ukufumana isiphumo. Kukho ezinye iimvavanyo ukuba abe yoko ethile kunye namathuba ikhulu okanye zero ekhulwini. iziganeko ezinjalo ibizwa asilolokwenyani kwaye akunakwenzeka, ngokulandelelana kwazo. Thina nomdla kwezo ezingenzeka okanye akunjalo, oko kukuthi random. Kuba ekufumaneni amathuba okuba isiganeko usebenzisa ifomula F = m / n, apho m - na iindlela ukwanelisa kuthi, kwaye n - zonke iziphumo kunokwenzeka. Ngoku makhe siqwalasele umzekelo ka zokusombulula iingxaki theory lilonke.

Combinatorics. imisebenzi

theory kwenzeke ibandakanya esi sigaba silandelayo, umsebenzi olu hlobo amaninzi zifumaneka uzihlole. Imeko: iqela labafundi ibandakanya abantu ezingamashumi amabini anesithathu (neshumi kunye neemazi ezilishumi). Ukuze ukhethe abantu ababini. Zingaphi iindlela ezikhoyo ukukhetha amakhwenkwe amabini okanye amantombazana? Xa vekeleke, kufuneka ukufumana abafazi ababini okanye namadoda amabini. Siyabona ukuba ulwimi isixelela isigqibo esifanelekileyo:

  1. Fumana inani iindlela ukukhetha abantu.
  2. Ke amantombazana.
  3. Thina dibanisa iziphumo.

Eli nyathelo lokuqala = 45 ke le ntombazana, kwaye ufumane iindlela 78. Umsebenzi Last: 45 + 78 = 123. Kubonakala ukuba kukho 123 iindlela ukukhetha zibini-sex ezifana usodolophu kunye namasekela, akukho nto abafazi okanye amadoda.

iingxaki classical

Siye sabona umzekelo combinatorics, dlulelani kwinyathelo elilandelayo. Cinga nje ngomzekelo ka zokusombulula iingxaki kwithiyori amathuba okufumana imvelaphi iziganeko okuba zoqobo.

Imeko: ibhokisi Worth, ngaphakathi kukho iibhola ngemibala eyahlukileyo, oko kukuthi, elinesihlanu ezimhlophe, ezintlanu ezimnyama ezilishumi phambi kwakho. Ukuba ucela ukutsala omnye ngamabona-ndenzile. Yintoni na ke kubonakala ukuba uya kuthatha ibhola: 1) emhlophe; 2) ebomvu; 3) abamnyama.

inzuzo yethu - ukubala zonke iinketho kunokwenzeka, kulo mzekelo esinalo amathathu. Ngoku siyifumene n. Luchazwa ngegama unobumba A wabuyisa ibhola emhlophe, sifumana m ilingana elinesihlanu - yabaneziphumo ezihle. Ukusebenzisa umthetho okuba esisiseko ngobekuphandwa ngako, sifumana: F = 15/30, ngamanye 1/2. Enethuba enjalo, siya kuwa ibhola emhlophe.

Ngendlela efanayo, sifumana - iibhola ezibomvu kunye C - emnyama. R (B) iya kulingana 1/6, kwaye amathuba isiganeko C = 1/3. Ukukhangela ukuba ngaba i-ngxaki sele isonjululwe ngokuchanekileyo, ungasebenzisa ulawulo ebezinokwenzeka mali. complex lethu libandakanya iziganeko A, B no-C, kunye bafanele ukwenza iyunithi. Uphicotho, siye saba ixabiso efanayo ezinqwenelekayo, yaye ngoko ke, lo msebenzi wagqiba ngokuchanekileyo. Impendulo: 1) 0.5; 2) 0.17; 3) 0.33.

UKUSEBENZISA

Cinga nje ngomzekelo ka zokusombulula iingxaki kwithiyori amathuba amatikiti eemviwo. Imizekelo ephosa iingqekembe amaninzi zifumaneka. Sinikezela ukuba ibattery omnye wabo. Coin uyiphosa izihlandlo ezithathu, yintoni na amathuba ukuba ukuwa kabini ukhozi kanye imisila. Reformulate umsebenzi: ukuphosa ezintathu ngexesha. Kuba lula itafile. Lwemali olulodwa ngokucacileyo:

Eagle okanye enye

imisila okanye emibini

zemali ezimbini:

enye

enye

enye

ezimbini

ezimbini

enye

ezimbini

ezimbini

Ngemali eziinkozo ezimbini esinalo kakade ezine isiphumo, kodwa ezintathu umsebenzi omncinane inzima, yaye isiphumo iba asibhozo.

1

ukhozi

ukhozi

ukhozi

2

ukhozi

ukhozi

imisila

3

ukhozi

imisila

ukhozi

4

imisila

ukhozi

ukhozi

5

ukhozi

imisila

imisila

6

imisila

ukhozi

imisila

7

imisila

imisila

ukhozi

8

imisila

imisila

imisila

Ngoku sibala iinketho ukuba ivumelane nathi: 2; 3; 4. Sifumana ukuba lunee amathathu ezisibhozo sidibana, oko kukuthi impendulo 3/8.

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