해결방법 - 팩토리얼

105079268250481975283635873199906126876704564880473966211795934648607657423214851330035892513900226814020659712073341184156147432149254329919196444280757812440279811416892663960213129100783750893672904743352907879758116676349372583469997314133020848401793340531441890684798366656847783674743995138860260574365568498459791656378584185414159688759185276041900889950920448999474629039072565048120573786172839684413565451578309267772179275612694654836599037864297738798455523866377376908537626149995740339380776451391004011210154052499306063032266700442947271771874821417997338707763630862663387563379124920348485713479079644828299402847708246446000548977614124472907834347746264572683066803221405728896608236094991681500337192640743733041665726547343283317585152919515028112866834969512762110221281766283139940077749326109112851675633989562426494609657360841766594367706030134751875279970331963423673979143977257217589029324528208425803750663021236870260316981645114204298979240305167118474009623992274387812190804121538009968060625317568015729561811412994293503312587057209855600994407699898689589805170819428569889074977775567655860556430076369857035266371192111063000834493288575567600299146435254453623607943472381040033083471774743442249736845688933777590294864522522380286015106116011415930923094486213371199476281945457573306344360430937341498932715499656340761575299526743040729187033833756832387925488229422457943655342281757669257160647006620030911885870904325574315215990212385544277965150457694632892390830453116178957119355758610738354398280139393064824703227384814111124246495735316480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

105079268250481975283635873199906126876704564880473966211795934648607657423214851330035892513900226814020659712073341184156147432149254329919196444280757812440279811416892663960213129100783750893672904743352907879758116676349372583469997314133020848401793340531441890684798366656847783674743995138860260574365568498459791656378584185414159688759185276041900889950920448999474629039072565048120573786172839684413565451578309267772179275612694654836599037864297738798455523866377376908537626149995740339380776451391004011210154052499306063032266700442947271771874821417997338707763630862663387563379124920348485713479079644828299402847708246446000548977614124472907834347746264572683066803221405728896608236094991681500337192640743733041665726547343283317585152919515028112866834969512762110221281766283139940077749326109112851675633989562426494609657360841766594367706030134751875279970331963423673979143977257217589029324528208425803750663021236870260316981645114204298979240305167118474009623992274387812190804121538009968060625317568015729561811412994293503312587057209855600994407699898689589805170819428569889074977775567655860556430076369857035266371192111063000834493288575567600299146435254453623607943472381040033083471774743442249736845688933777590294864522522380286015106116011415930923094486213371199476281945457573306344360430937341498932715499656340761575299526743040729187033833756832387925488229422457943655342281757669257160647006620030911885870904325574315215990212385544277965150457694632892390830453116178957119355758610738354398280139393064824703227384814111124246495735316480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

730의 팩토리얼은 730 이하의 모든 양의 정수의 곱입니다:

$730! = 730 \cdot 729 \cdot 728 \cdot 727 \cdot 726 \cdot 725 \cdot 724 \cdot 723 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 105079268250481975283635873199906126876704564880473966211795934648607657423214851330035892513900226814020659712073341184156147432149254329919196444280757812440279811416892663960213129100783750893672904743352907879758116676349372583469997314133020848401793340531441890684798366656847783674743995138860260574365568498459791656378584185414159688759185276041900889950920448999474629039072565048120573786172839684413565451578309267772179275612694654836599037864297738798455523866377376908537626149995740339380776451391004011210154052499306063032266700442947271771874821417997338707763630862663387563379124920348485713479079644828299402847708246446000548977614124472907834347746264572683066803221405728896608236094991681500337192640743733041665726547343283317585152919515028112866834969512762110221281766283139940077749326109112851675633989562426494609657360841766594367706030134751875279970331963423673979143977257217589029324528208425803750663021236870260316981645114204298979240305167118474009623992274387812190804121538009968060625317568015729561811412994293503312587057209855600994407699898689589805170819428569889074977775567655860556430076369857035266371192111063000834493288575567600299146435254453623607943472381040033083471774743442249736845688933777590294864522522380286015106116011415930923094486213371199476281945457573306344360430937341498932715499656340761575299526743040729187033833756832387925488229422457943655342281757669257160647006620030911885870904325574315215990212385544277965150457694632892390830453116178957119355758610738354398280139393064824703227384814111124246495735316480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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