해결방법 - 팩토리얼

435172281340659532239765050545636993575468063628292108941273414883732058750474383616856659441158282324690256052248800585497232469751038011950955548393204012072891513546726428975527098844367121296463396955934730296403643003140294715558489644622417358821886036965350971794858868549192367459329133116028460516363488437668131355469914235110539787843671863303910932048449686777752709503221004604721613368541189130323367315049586961269365213977467720193942467125261288080706106995967568022993462361952081731835853596164764008570502140764670004834827255718644707393768049565788953813012573930480156843049073035506677797518912561931901376001538475098339170741200657739145755123383418576602550423299677109519815811839383774940261486462980956459652502145883136586478067403847913644047202903836133413116332748734828264131331688237387188427610235295214192901814720999253396678184054548932879464688588843450136858910997334826566262905351119130295324414532245241332525626244475880294046620799957205841356135002522606810510518193914851139483351269250810026072540042818339776049254311345720711181473164691212101023648437971857259188906065450242212851806677086580193419164740123583365461900233401278040993999425126303980140198635645023284075448733071596985734992598504499439446079387738344876985907550876207959968702880446578636284117257674705202225103032741239304859332061895407389398859170154907882499448035828080465550397268451197988616490351885704002175278088571927166965615916438862395718198582738488279235962958499409025334383970325095374238808795711537761370584393028362001681904598892654317906884650344400075315228892930409037180692468402299318641892761089282434905419996020614454347909124454486077162189932752739035192595468938633750007320883945021019646952838533990286788176928033460691918084878596958984382521827853692065698059121332086792893549094940493231611363855095871725755591031728475475185658473748464143720213169794965448124500617263914005067131078123152434607952693401801745580747510516030730493977620834112462832160251412946757915716553199086681682287727557090911581221103180914702421637404836147851117421227557043081061808741860495700611429160132494645628572460362305950897758309758643427628653302931737158431234418499967145302618342991501862786978579876335969151834964243691601920000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

435172281340659532239765050545636993575468063628292108941273414883732058750474383616856659441158282324690256052248800585497232469751038011950955548393204012072891513546726428975527098844367121296463396955934730296403643003140294715558489644622417358821886036965350971794858868549192367459329133116028460516363488437668131355469914235110539787843671863303910932048449686777752709503221004604721613368541189130323367315049586961269365213977467720193942467125261288080706106995967568022993462361952081731835853596164764008570502140764670004834827255718644707393768049565788953813012573930480156843049073035506677797518912561931901376001538475098339170741200657739145755123383418576602550423299677109519815811839383774940261486462980956459652502145883136586478067403847913644047202903836133413116332748734828264131331688237387188427610235295214192901814720999253396678184054548932879464688588843450136858910997334826566262905351119130295324414532245241332525626244475880294046620799957205841356135002522606810510518193914851139483351269250810026072540042818339776049254311345720711181473164691212101023648437971857259188906065450242212851806677086580193419164740123583365461900233401278040993999425126303980140198635645023284075448733071596985734992598504499439446079387738344876985907550876207959968702880446578636284117257674705202225103032741239304859332061895407389398859170154907882499448035828080465550397268451197988616490351885704002175278088571927166965615916438862395718198582738488279235962958499409025334383970325095374238808795711537761370584393028362001681904598892654317906884650344400075315228892930409037180692468402299318641892761089282434905419996020614454347909124454486077162189932752739035192595468938633750007320883945021019646952838533990286788176928033460691918084878596958984382521827853692065698059121332086792893549094940493231611363855095871725755591031728475475185658473748464143720213169794965448124500617263914005067131078123152434607952693401801745580747510516030730493977620834112462832160251412946757915716553199086681682287727557090911581221103180914702421637404836147851117421227557043081061808741860495700611429160132494645628572460362305950897758309758643427628653302931737158431234418499967145302618342991501862786978579876335969151834964243691601920000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

987의 팩토리얼은 987 이하의 모든 양의 정수의 곱입니다:

$987! = 987 \cdot 986 \cdot 985 \cdot 984 \cdot 983 \cdot 982 \cdot 981 \cdot 980 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 435172281340659532239765050545636993575468063628292108941273414883732058750474383616856659441158282324690256052248800585497232469751038011950955548393204012072891513546726428975527098844367121296463396955934730296403643003140294715558489644622417358821886036965350971794858868549192367459329133116028460516363488437668131355469914235110539787843671863303910932048449686777752709503221004604721613368541189130323367315049586961269365213977467720193942467125261288080706106995967568022993462361952081731835853596164764008570502140764670004834827255718644707393768049565788953813012573930480156843049073035506677797518912561931901376001538475098339170741200657739145755123383418576602550423299677109519815811839383774940261486462980956459652502145883136586478067403847913644047202903836133413116332748734828264131331688237387188427610235295214192901814720999253396678184054548932879464688588843450136858910997334826566262905351119130295324414532245241332525626244475880294046620799957205841356135002522606810510518193914851139483351269250810026072540042818339776049254311345720711181473164691212101023648437971857259188906065450242212851806677086580193419164740123583365461900233401278040993999425126303980140198635645023284075448733071596985734992598504499439446079387738344876985907550876207959968702880446578636284117257674705202225103032741239304859332061895407389398859170154907882499448035828080465550397268451197988616490351885704002175278088571927166965615916438862395718198582738488279235962958499409025334383970325095374238808795711537761370584393028362001681904598892654317906884650344400075315228892930409037180692468402299318641892761089282434905419996020614454347909124454486077162189932752739035192595468938633750007320883945021019646952838533990286788176928033460691918084878596958984382521827853692065698059121332086792893549094940493231611363855095871725755591031728475475185658473748464143720213169794965448124500617263914005067131078123152434607952693401801745580747510516030730493977620834112462832160251412946757915716553199086681682287727557090911581221103180914702421637404836147851117421227557043081061808741860495700611429160132494645628572460362305950897758309758643427628653302931737158431234418499967145302618342991501862786978579876335969151834964243691601920000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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