해결방법 - 팩토리얼

197454325216532264659104934889050729798193368435789251952939727246195120775719885243504693075333496465454008516213505429009804070408430257096785696827626157882405643717031519928243097319998780265089923790053757032072677295505895829283870406323206585117149295397038334902001929189634484609699898789597798775514532007553585614331105070586766801509264475716220173912322094442517671118388043384859300197630155184271126616641879977774356456795186979417477568942814774975018366060426887852636612642568615929835910425974790031775849921076547086517967379677447567077954077490270662960639703220142788137961788376549759876503898462574552122155905531025801057890550246111031877685225143417860959473892563896680775383984425430784029901423875327511257166971725732975525025686369070246099620364757055283502042141201382904105359802523841726658086682004672368997984405061853532457120901468988998402710284238915523195865939938774431157946761764898065938822220788226056179381861274037053909916577723506537402754744300482575475513692124715726291646123547016422499974468674095689934770951406234099995128812031286223960709584209124695257112906717131481587519169381695765011878144410739051119930263967468290770141938204809785609755289439540058784733778197647837602355805351255407660831167714039284467568852080004380034752966558376457666313293604625037759288255514857092531926827247572695896611095595468983946922663353500550435928799861807211333487948884133373096279396846930326560818731468467435623936359406851716491253655212869745364884253370499947609515302649037627822463008799941418537736784888496390714425344000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

197454325216532264659104934889050729798193368435789251952939727246195120775719885243504693075333496465454008516213505429009804070408430257096785696827626157882405643717031519928243097319998780265089923790053757032072677295505895829283870406323206585117149295397038334902001929189634484609699898789597798775514532007553585614331105070586766801509264475716220173912322094442517671118388043384859300197630155184271126616641879977774356456795186979417477568942814774975018366060426887852636612642568615929835910425974790031775849921076547086517967379677447567077954077490270662960639703220142788137961788376549759876503898462574552122155905531025801057890550246111031877685225143417860959473892563896680775383984425430784029901423875327511257166971725732975525025686369070246099620364757055283502042141201382904105359802523841726658086682004672368997984405061853532457120901468988998402710284238915523195865939938774431157946761764898065938822220788226056179381861274037053909916577723506537402754744300482575475513692124715726291646123547016422499974468674095689934770951406234099995128812031286223960709584209124695257112906717131481587519169381695765011878144410739051119930263967468290770141938204809785609755289439540058784733778197647837602355805351255407660831167714039284467568852080004380034752966558376457666313293604625037759288255514857092531926827247572695896611095595468983946922663353500550435928799861807211333487948884133373096279396846930326560818731468467435623936359406851716491253655212869745364884253370499947609515302649037627822463008799941418537736784888496390714425344000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

728의 팩토리얼은 728 이하의 모든 양의 정수의 곱입니다:

$728! = 728 \cdot 727 \cdot 726 \cdot 725 \cdot 724 \cdot 723 \cdot 722 \cdot 721 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 197454325216532264659104934889050729798193368435789251952939727246195120775719885243504693075333496465454008516213505429009804070408430257096785696827626157882405643717031519928243097319998780265089923790053757032072677295505895829283870406323206585117149295397038334902001929189634484609699898789597798775514532007553585614331105070586766801509264475716220173912322094442517671118388043384859300197630155184271126616641879977774356456795186979417477568942814774975018366060426887852636612642568615929835910425974790031775849921076547086517967379677447567077954077490270662960639703220142788137961788376549759876503898462574552122155905531025801057890550246111031877685225143417860959473892563896680775383984425430784029901423875327511257166971725732975525025686369070246099620364757055283502042141201382904105359802523841726658086682004672368997984405061853532457120901468988998402710284238915523195865939938774431157946761764898065938822220788226056179381861274037053909916577723506537402754744300482575475513692124715726291646123547016422499974468674095689934770951406234099995128812031286223960709584209124695257112906717131481587519169381695765011878144410739051119930263967468290770141938204809785609755289439540058784733778197647837602355805351255407660831167714039284467568852080004380034752966558376457666313293604625037759288255514857092531926827247572695896611095595468983946922663353500550435928799861807211333487948884133373096279396846930326560818731468467435623936359406851716491253655212869745364884253370499947609515302649037627822463008799941418537736784888496390714425344000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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