해결방법 - 팩토리얼

1875478858310938267247735226725432443669087271887217911509557665090452490064159062595529254707812059556568962735218310274125918568481839503445004020887761140253484881421770333368453234089999396703809354940862311399068882119128998631980367825248628199125878024665607104472668010595090237140307961276233356857168333674132149263563974294855820669215779436863545102685447631662176540433103131776045205812795604514353974797763197250493639588105192516529505766022240748477025196273865217103375163695357382273093677006400911186352385428546304654859224012555402323717273607320647572247476461686161306878034096281886422544742835153331695094259358360454355798314552236105569012260234142278289710301146199414941540126266320211742041301691402573748615706886170110644236172680939359375094284475623029061058124624664887462026161192084724485123515481306308182053601584209098377800572003971047500583735448240518380273605626424510133815339802792448260083252087453329301927304257281753302461919677847952477247897560777960886037538615000560851423206124189801938206310152085048589681964359526690812128631972686569552978603848152329385739899454675870673626969372430753807916678523972389667809760124411555053747413411744543186690484234467450014937047030096959082510784322885282736082964876426622645717643497291854408558653519223548678201832502510871938278494743904971316593238707758304569098232015418396595609611453912967206197410939723555549450702419835812628322915768467581998401304668696941034890295224635973424473646263769952000940122554063829457099976812772791578266211026977557687786536960000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

1875478858310938267247735226725432443669087271887217911509557665090452490064159062595529254707812059556568962735218310274125918568481839503445004020887761140253484881421770333368453234089999396703809354940862311399068882119128998631980367825248628199125878024665607104472668010595090237140307961276233356857168333674132149263563974294855820669215779436863545102685447631662176540433103131776045205812795604514353974797763197250493639588105192516529505766022240748477025196273865217103375163695357382273093677006400911186352385428546304654859224012555402323717273607320647572247476461686161306878034096281886422544742835153331695094259358360454355798314552236105569012260234142278289710301146199414941540126266320211742041301691402573748615706886170110644236172680939359375094284475623029061058124624664887462026161192084724485123515481306308182053601584209098377800572003971047500583735448240518380273605626424510133815339802792448260083252087453329301927304257281753302461919677847952477247897560777960886037538615000560851423206124189801938206310152085048589681964359526690812128631972686569552978603848152329385739899454675870673626969372430753807916678523972389667809760124411555053747413411744543186690484234467450014937047030096959082510784322885282736082964876426622645717643497291854408558653519223548678201832502510871938278494743904971316593238707758304569098232015418396595609611453912967206197410939723555549450702419835812628322915768467581998401304668696941034890295224635973424473646263769952000940122554063829457099976812772791578266211026977557687786536960000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

721의 팩토리얼은 721 이하의 모든 양의 정수의 곱입니다:

$721! = 721 \cdot 720 \cdot 719 \cdot 718 \cdot 717 \cdot 716 \cdot 715 \cdot 714 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 1875478858310938267247735226725432443669087271887217911509557665090452490064159062595529254707812059556568962735218310274125918568481839503445004020887761140253484881421770333368453234089999396703809354940862311399068882119128998631980367825248628199125878024665607104472668010595090237140307961276233356857168333674132149263563974294855820669215779436863545102685447631662176540433103131776045205812795604514353974797763197250493639588105192516529505766022240748477025196273865217103375163695357382273093677006400911186352385428546304654859224012555402323717273607320647572247476461686161306878034096281886422544742835153331695094259358360454355798314552236105569012260234142278289710301146199414941540126266320211742041301691402573748615706886170110644236172680939359375094284475623029061058124624664887462026161192084724485123515481306308182053601584209098377800572003971047500583735448240518380273605626424510133815339802792448260083252087453329301927304257281753302461919677847952477247897560777960886037538615000560851423206124189801938206310152085048589681964359526690812128631972686569552978603848152329385739899454675870673626969372430753807916678523972389667809760124411555053747413411744543186690484234467450014937047030096959082510784322885282736082964876426622645717643497291854408558653519223548678201832502510871938278494743904971316593238707758304569098232015418396595609611453912967206197410939723555549450702419835812628322915768467581998401304668696941034890295224635973424473646263769952000940122554063829457099976812772791578266211026977557687786536960000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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