Rešenje - Faktorijeli

32109938753811866010206196782743656908638069415426370564137519826220619429701961694771772426481141354724625375760936248731262112249612423160815262992240065023942254027995921590596319372915675976983904132588343702814181687161548568616829075513467556483803809140613158374871760255967945601099230448371702925399197712302143096404679446634229121301425376060772169361635826252288000106360039895297140961751318131100905030445197688633598028653969118684270656259724931844630902325781171335758394393448787438811349202356250188712451757350144938902750525600161631231165119543335870705286443948520340147305118434430823479910015403104234980262481274888063443965988617403673968594548108105717635920607094097204780853169567232821545820260774965765519269063839193934757862571876365382251541410949209139108151080092829161113045905969717379824891781156113623149490543793644928082404145011836463415040524953545532398909970744403218533453432096661152709030273126198968440863726865132159437547330328309636903141546723237876341721687040829122980551062420568248787564045741520855649264353824025111352837314009548577986764675453760782164211347671342018665709895143242139870336949133770627876340743197103286279761807586937631254190367523741892608000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

32109938753811866010206196782743656908638069415426370564137519826220619429701961694771772426481141354724625375760936248731262112249612423160815262992240065023942254027995921590596319372915675976983904132588343702814181687161548568616829075513467556483803809140613158374871760255967945601099230448371702925399197712302143096404679446634229121301425376060772169361635826252288000106360039895297140961751318131100905030445197688633598028653969118684270656259724931844630902325781171335758394393448787438811349202356250188712451757350144938902750525600161631231165119543335870705286443948520340147305118434430823479910015403104234980262481274888063443965988617403673968594548108105717635920607094097204780853169567232821545820260774965765519269063839193934757862571876365382251541410949209139108151080092829161113045905969717379824891781156113623149490543793644928082404145011836463415040524953545532398909970744403218533453432096661152709030273126198968440863726865132159437547330328309636903141546723237876341721687040829122980551062420568248787564045741520855649264353824025111352837314009548577986764675453760782164211347671342018665709895143242139870336949133770627876340743197103286279761807586937631254190367523741892608000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Vidi korake

Objašnjenje korak po korak

1. Pronađi faktorijel

Faktorijel od 585 je proizvod svih pozitivnih celih brojeva manjih od ili jednakih 585:

$585! = 585 \cdot 584 \cdot 583 \cdot 582 \cdot 581 \cdot 580 \cdot 579 \cdot 578 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 32109938753811866010206196782743656908638069415426370564137519826220619429701961694771772426481141354724625375760936248731262112249612423160815262992240065023942254027995921590596319372915675976983904132588343702814181687161548568616829075513467556483803809140613158374871760255967945601099230448371702925399197712302143096404679446634229121301425376060772169361635826252288000106360039895297140961751318131100905030445197688633598028653969118684270656259724931844630902325781171335758394393448787438811349202356250188712451757350144938902750525600161631231165119543335870705286443948520340147305118434430823479910015403104234980262481274888063443965988617403673968594548108105717635920607094097204780853169567232821545820260774965765519269063839193934757862571876365382251541410949209139108151080092829161113045905969717379824891781156113623149490543793644928082404145011836463415040524953545532398909970744403218533453432096661152709030273126198968440863726865132159437547330328309636903141546723237876341721687040829122980551062420568248787564045741520855649264353824025111352837314009548577986764675453760782164211347671342018665709895143242139870336949133770627876340743197103286279761807586937631254190367523741892608000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

Kako smo se snašli?

Ostavite nam povratne informacije

Zašto naučiti ovo

Postoji više načina da se rasporedi špil karata nego što ima atoma na Zemlji. U stvari, ako biste promešali standardni špil od pedeset i dve karte i njima napravili niz, to bi verovatno bio prvi put u celoj ljudskoj istoriji da je postavljen baš taj raspored i poslednji put da će ikada biti taj isti. Tako ogromne brojeve je teško i zamisliti i, zahvaljujući faktorijelima, ne moramo da pokušavamo.

Faktorijeli, koji su izraženi kao celi broj praćeni uzvičnikom (na primer: $10!$ ), se često koriste u matematici, uglavnom za određivanje broja različitih kombinacija ili permutacija, koje može sadržiti skup stvari. U našem primeru karata, faktorijel bi bio $52!$ , što je otprilike jednako $8$ sa 67 nula.
Pogledajte špil sledeći put kada odlučite igrati karte. Šanse su da držite nešto što nikada pre nije postojalo na takav način i nikada više neće postojati.

Pojmovi i teme

Faktorijeli

Rešenje - Faktorijeli

Objašnjenje korak po korak

1. Pronađi faktorijel

Zašto naučiti ovo

Pojmovi i teme

Srodni linkovi

Rešena najnovija srodna vežbanja