해결방법 - 팩토리얼

43735205133667934997165570508814754319098829241560177469389922594675131782551748251217954826265427587564199921673505953380502397934820796886007994469615184358354533854420605992322104129982270191081788350211084072593386047198614061680622530472441876103517799152048529429268583562496417457576731573086078488901409579673749324700074394545237676216137235695672601798834385417044847223377808542706035443640768393988165868843798295885683345661972155229864786502808924122004892327191661755108258210758833123962714418056955464894890142610647791125970489774435409100823827649437872455717419208965710661043606601999764100329841037210559629482666120721661975445218360990049959411528797132269436150547882158364669687224384575625928739383942240682681548495075985196619919047155985221560042603492727892188643573261339593388228297936833490877942098332176362747599436131296194442681302137797037329524095164467611312671540602316278572821058222425081127449301856980204555596935199224842117878214847517138612269744339962845531788394285897157300766786564902096262879328218254762160256214539868001769097561684365575974413678854046157471075636569707177616270230211020595137081632068396446683188811771090046635058300331166965127285055877855826536509495196358411563518627065517629637839477975982390774046866681534627092313236030665955717997641361477892871933964060534836433262728379385595638785725255942164713170599449705694714569386339497926676673462161897055531420444554253846288085589856730286953788118893111019569152000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

43735205133667934997165570508814754319098829241560177469389922594675131782551748251217954826265427587564199921673505953380502397934820796886007994469615184358354533854420605992322104129982270191081788350211084072593386047198614061680622530472441876103517799152048529429268583562496417457576731573086078488901409579673749324700074394545237676216137235695672601798834385417044847223377808542706035443640768393988165868843798295885683345661972155229864786502808924122004892327191661755108258210758833123962714418056955464894890142610647791125970489774435409100823827649437872455717419208965710661043606601999764100329841037210559629482666120721661975445218360990049959411528797132269436150547882158364669687224384575625928739383942240682681548495075985196619919047155985221560042603492727892188643573261339593388228297936833490877942098332176362747599436131296194442681302137797037329524095164467611312671540602316278572821058222425081127449301856980204555596935199224842117878214847517138612269744339962845531788394285897157300766786564902096262879328218254762160256214539868001769097561684365575974413678854046157471075636569707177616270230211020595137081632068396446683188811771090046635058300331166965127285055877855826536509495196358411563518627065517629637839477975982390774046866681534627092313236030665955717997641361477892871933964060534836433262728379385595638785725255942164713170599449705694714569386339497926676673462161897055531420444554253846288085589856730286953788118893111019569152000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

692의 팩토리얼은 692 이하의 모든 양의 정수의 곱입니다:

$692! = 692 \cdot 691 \cdot 690 \cdot 689 \cdot 688 \cdot 687 \cdot 686 \cdot 685 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 43735205133667934997165570508814754319098829241560177469389922594675131782551748251217954826265427587564199921673505953380502397934820796886007994469615184358354533854420605992322104129982270191081788350211084072593386047198614061680622530472441876103517799152048529429268583562496417457576731573086078488901409579673749324700074394545237676216137235695672601798834385417044847223377808542706035443640768393988165868843798295885683345661972155229864786502808924122004892327191661755108258210758833123962714418056955464894890142610647791125970489774435409100823827649437872455717419208965710661043606601999764100329841037210559629482666120721661975445218360990049959411528797132269436150547882158364669687224384575625928739383942240682681548495075985196619919047155985221560042603492727892188643573261339593388228297936833490877942098332176362747599436131296194442681302137797037329524095164467611312671540602316278572821058222425081127449301856980204555596935199224842117878214847517138612269744339962845531788394285897157300766786564902096262879328218254762160256214539868001769097561684365575974413678854046157471075636569707177616270230211020595137081632068396446683188811771090046635058300331166965127285055877855826536509495196358411563518627065517629637839477975982390774046866681534627092313236030665955717997641361477892871933964060534836433262728379385595638785725255942164713170599449705694714569386339497926676673462161897055531420444554253846288085589856730286953788118893111019569152000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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