해결방법 - 팩토리얼

1824200416981257450057730991627029280593139823668905473621982296356361195421352130602098254466666105357757114842943336922741213795583024176568165444356371746595936125081594300436962208716515203097274013020310716007954975089755544393319941429500937881643623606724875914925642127668615329700214793418453588872883209258922633694578309873509006626582169926788917888373021731907796140748079160990714212976577879271040564718191564515564645885247242595792444603134796791779015314845357775565904564110133432293654841179551432995512653261045266408461997597322925334950971893314523226499763484137351681483997674300057626955796574228430328434873162184012954047591427619391489384924197729677721060351196140697879224604483762275053390400455806709953654877133820974717881650569370307997063288302334412925992550487647396757130758517330030769530361403979159132817200473844081658642726674348407018631448612144495535331513179987577187693335045701293225886502016198651988763274697298817446120600796772911680047377292087381631200688041112924525619266496944224328512273683610361709250620056403542672307738785777888509043611111545982150042119733217126468658897621113114236630412382471140509794361072240635683367832330470201201807849273189915605807321218449968904256316770299980459548707867513987970894119680935957249543406883210794763155377276832697924825139647064403905578835502432964707599666264432311038702123686743191053976257640768138722908060269138093041935253663646470043333025642526880531340475473898862548466294097053161816482289636272426509742684626991488742150032853303042496248157724716741764149248282974952583362883494237450859361940401757452832603221843454512197139521845250198672001823138729730443837440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

1824200416981257450057730991627029280593139823668905473621982296356361195421352130602098254466666105357757114842943336922741213795583024176568165444356371746595936125081594300436962208716515203097274013020310716007954975089755544393319941429500937881643623606724875914925642127668615329700214793418453588872883209258922633694578309873509006626582169926788917888373021731907796140748079160990714212976577879271040564718191564515564645885247242595792444603134796791779015314845357775565904564110133432293654841179551432995512653261045266408461997597322925334950971893314523226499763484137351681483997674300057626955796574228430328434873162184012954047591427619391489384924197729677721060351196140697879224604483762275053390400455806709953654877133820974717881650569370307997063288302334412925992550487647396757130758517330030769530361403979159132817200473844081658642726674348407018631448612144495535331513179987577187693335045701293225886502016198651988763274697298817446120600796772911680047377292087381631200688041112924525619266496944224328512273683610361709250620056403542672307738785777888509043611111545982150042119733217126468658897621113114236630412382471140509794361072240635683367832330470201201807849273189915605807321218449968904256316770299980459548707867513987970894119680935957249543406883210794763155377276832697924825139647064403905578835502432964707599666264432311038702123686743191053976257640768138722908060269138093041935253663646470043333025642526880531340475473898862548466294097053161816482289636272426509742684626991488742150032853303042496248157724716741764149248282974952583362883494237450859361940401757452832603221843454512197139521845250198672001823138729730443837440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

768의 팩토리얼은 768 이하의 모든 양의 정수의 곱입니다:

$768! = 768 \cdot 767 \cdot 766 \cdot 765 \cdot 764 \cdot 763 \cdot 762 \cdot 761 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 1824200416981257450057730991627029280593139823668905473621982296356361195421352130602098254466666105357757114842943336922741213795583024176568165444356371746595936125081594300436962208716515203097274013020310716007954975089755544393319941429500937881643623606724875914925642127668615329700214793418453588872883209258922633694578309873509006626582169926788917888373021731907796140748079160990714212976577879271040564718191564515564645885247242595792444603134796791779015314845357775565904564110133432293654841179551432995512653261045266408461997597322925334950971893314523226499763484137351681483997674300057626955796574228430328434873162184012954047591427619391489384924197729677721060351196140697879224604483762275053390400455806709953654877133820974717881650569370307997063288302334412925992550487647396757130758517330030769530361403979159132817200473844081658642726674348407018631448612144495535331513179987577187693335045701293225886502016198651988763274697298817446120600796772911680047377292087381631200688041112924525619266496944224328512273683610361709250620056403542672307738785777888509043611111545982150042119733217126468658897621113114236630412382471140509794361072240635683367832330470201201807849273189915605807321218449968904256316770299980459548707867513987970894119680935957249543406883210794763155377276832697924825139647064403905578835502432964707599666264432311038702123686743191053976257640768138722908060269138093041935253663646470043333025642526880531340475473898862548466294097053161816482289636272426509742684626991488742150032853303042496248157724716741764149248282974952583362883494237450859361940401757452832603221843454512197139521845250198672001823138729730443837440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

우리는 어떻게 했나요?

피드백을 남겨주세요.

왜 이 것을 배워야하나요

카드 덱을 배열하는 방법은 지구에 있는 원자보다 많습니다. 사실, 표준 카드 덱인 52장의 카드를 섞고 한 줄로 놓았다면, 그것은 아마도 인류 역사에서 그 정확한 배열이 처음으로 나타나고 마지막으로 나타날 것입니다. 이런 엄청난 숫자는 상상하기조차 어렵고, 팩토리얼 덕분에 우리는 시도하지 않아도 됩니다.

팩토리얼은 통째로 수에 느낌표를 붙여 표현되며(예를 들어: $10!$ ), 주로 특정 집합이 가질 수 있는 다양한 조합, 또는 순열의 개수를 결정하는 데 자주 사용됩니다. 우리의 카드 예시에서, 팩토리얼은 $52!$ 이며, 이것은 대략 $8$ 에 67개의 제로가 붙은 값과 같습니다.
다음에 카드 게임을 하려고 할 때 카드 덱을 봐 보세요. 아마 당신이 들고 있는 것은 아마도 그 정확한 방식으로는 이전에 존재하지 않았을 것이며, 다시는 존재하지 않을 것입니다.

용어와 주제

팩토리얼 주제

해결방법 - 팩토리얼

단계별 설명

1. 팩토리얼을 찾아보세요

왜 이 것을 배워야하나요

용어와 주제

관련 링크

최근 해결된 관련 연습문제