해결방법 - 팩토리얼

6998276173356345527993393782699036743726569115025688280043139322930685262050193143269259641898487469385105135274337980754118335450024869946528609064772542164035432038684238991392828052275418502706701472313954187915153587297747324620169735579166751763103960716124559987810681249146500084103204784709516100777565531359948185265582450942874413242223654566144203496238183556635274015443823573876724786613238264003246506269965809778675620679028983288671961114039773440747495885174189399699265841796818869817639890760044441088101214569361980928766924038110520561280437643316526198174509637646074416564307230254968203659588214575096902258844314481682451047783436968607937225407772481950629625728907838969209079447188522829992471324073903423474993298751957944009920040203889556885683048055973598073297366732738748631935809702263825869974034839641217446563539880407335320110968243213315869456146739815911099169740538337653285317367384650209003410259530749001276138550020147506001956171542118474414281277999438951580289883366317391782400175677532824985352978885826310910653133112070006773929446743816108808931796254734323898471792092520735327245750625637919030674358407078471514351985377499521052607799490184036316201879239942500295874433003149840999965535043113361088058611165464402498855933681138148216716430949797425663615932915847657768267550741718988946037462703690449090734246374528472499278018474000026826358854768912548419649223051986202035855510349486364898001242079388762779576568933545171359945317265443970553005404054567487141365982439431764169371134904500224000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

6998276173356345527993393782699036743726569115025688280043139322930685262050193143269259641898487469385105135274337980754118335450024869946528609064772542164035432038684238991392828052275418502706701472313954187915153587297747324620169735579166751763103960716124559987810681249146500084103204784709516100777565531359948185265582450942874413242223654566144203496238183556635274015443823573876724786613238264003246506269965809778675620679028983288671961114039773440747495885174189399699265841796818869817639890760044441088101214569361980928766924038110520561280437643316526198174509637646074416564307230254968203659588214575096902258844314481682451047783436968607937225407772481950629625728907838969209079447188522829992471324073903423474993298751957944009920040203889556885683048055973598073297366732738748631935809702263825869974034839641217446563539880407335320110968243213315869456146739815911099169740538337653285317367384650209003410259530749001276138550020147506001956171542118474414281277999438951580289883366317391782400175677532824985352978885826310910653133112070006773929446743816108808931796254734323898471792092520735327245750625637919030674358407078471514351985377499521052607799490184036316201879239942500295874433003149840999965535043113361088058611165464402498855933681138148216716430949797425663615932915847657768267550741718988946037462703690449090734246374528472499278018474000026826358854768912548419649223051986202035855510349486364898001242079388762779576568933545171359945317265443970553005404054567487141365982439431764169371134904500224000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

717의 팩토리얼은 717 이하의 모든 양의 정수의 곱입니다:

$717! = 717 \cdot 716 \cdot 715 \cdot 714 \cdot 713 \cdot 712 \cdot 711 \cdot 710 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 6998276173356345527993393782699036743726569115025688280043139322930685262050193143269259641898487469385105135274337980754118335450024869946528609064772542164035432038684238991392828052275418502706701472313954187915153587297747324620169735579166751763103960716124559987810681249146500084103204784709516100777565531359948185265582450942874413242223654566144203496238183556635274015443823573876724786613238264003246506269965809778675620679028983288671961114039773440747495885174189399699265841796818869817639890760044441088101214569361980928766924038110520561280437643316526198174509637646074416564307230254968203659588214575096902258844314481682451047783436968607937225407772481950629625728907838969209079447188522829992471324073903423474993298751957944009920040203889556885683048055973598073297366732738748631935809702263825869974034839641217446563539880407335320110968243213315869456146739815911099169740538337653285317367384650209003410259530749001276138550020147506001956171542118474414281277999438951580289883366317391782400175677532824985352978885826310910653133112070006773929446743816108808931796254734323898471792092520735327245750625637919030674358407078471514351985377499521052607799490184036316201879239942500295874433003149840999965535043113361088058611165464402498855933681138148216716430949797425663615932915847657768267550741718988946037462703690449090734246374528472499278018474000026826358854768912548419649223051986202035855510349486364898001242079388762779576568933545171359945317265443970553005404054567487141365982439431764169371134904500224000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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