Rešenje - Faktorijeli

347728979313260536328304591754560471199225065564351457034247483155161041206635254347320985033950225364432243311021394545295001702070069013264153113260937941358711864044716186861040899557497361427588282356254968425012480396855239725120562512065555822121708786443620799246550959187232026838081415178588172535280020786313470076859739980965720873849904291373826841584712798618430387338042329771801724767691095019545758986942732515033551529595009876999279553931070378592917099002397061907147143424113252117585950817850896618433994140232823316432187410356341262386332496954319973130407342567282027398579382543048456876800862349928140411905431276197435674603281842530744177527365885721629512253872386613118821540847897493107398381956081763695236422795880296204301770808809477147632428639299038833046264585834888158847387737841843413664892833586209196366979775748895821826924040057845140287522238675082137570315954526727437094904914796782641000740777897919134093393530422760955140211387173650047358347353379234387609261306673773281412893026941927424000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

347728979313260536328304591754560471199225065564351457034247483155161041206635254347320985033950225364432243311021394545295001702070069013264153113260937941358711864044716186861040899557497361427588282356254968425012480396855239725120562512065555822121708786443620799246550959187232026838081415178588172535280020786313470076859739980965720873849904291373826841584712798618430387338042329771801724767691095019545758986942732515033551529595009876999279553931070378592917099002397061907147143424113252117585950817850896618433994140232823316432187410356341262386332496954319973130407342567282027398579382543048456876800862349928140411905431276197435674603281842530744177527365885721629512253872386613118821540847897493107398381956081763695236422795880296204301770808809477147632428639299038833046264585834888158847387737841843413664892833586209196366979775748895821826924040057845140287522238675082137570315954526727437094904914796782641000740777897919134093393530422760955140211387173650047358347353379234387609261306673773281412893026941927424000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Vidi korake

Objašnjenje korak po korak

1. Pronađi faktorijel

Faktorijel od 512 je proizvod svih pozitivnih celih brojeva manjih od ili jednakih 512:

$512! = 512 \cdot 511 \cdot 510 \cdot 509 \cdot 508 \cdot 507 \cdot 506 \cdot 505 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 347728979313260536328304591754560471199225065564351457034247483155161041206635254347320985033950225364432243311021394545295001702070069013264153113260937941358711864044716186861040899557497361427588282356254968425012480396855239725120562512065555822121708786443620799246550959187232026838081415178588172535280020786313470076859739980965720873849904291373826841584712798618430387338042329771801724767691095019545758986942732515033551529595009876999279553931070378592917099002397061907147143424113252117585950817850896618433994140232823316432187410356341262386332496954319973130407342567282027398579382543048456876800862349928140411905431276197435674603281842530744177527365885721629512253872386613118821540847897493107398381956081763695236422795880296204301770808809477147632428639299038833046264585834888158847387737841843413664892833586209196366979775748895821826924040057845140287522238675082137570315954526727437094904914796782641000740777897919134093393530422760955140211387173650047358347353379234387609261306673773281412893026941927424000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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

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