해결방법 - 팩토리얼

10349062101922404990829182916756412911972788499117769572250963715038226297462309706234749187106172295051847660908809339928170607860373539658715904374589498666841548933492718011979376320594015450183928434109808011781836435308231472399495350372281976736764160727348353192173223874822656894011592697146852159717517196573413921573043678938953826660131141525019843559311299612030801125834257414170544274407611568738904637684805176945836438181905918944488649437989924477634563885101196505259455258614818254756392017064732919350553014187185857949116529474346328487217525550646160293323940238494358566921243810720125635097965084878234874750170604023516532511894262881944786437056865576704392412582201002120302996629695500198081061467271147253987427048721824544503964852107798842269090633855420331158581937402665142847818093170326502478900659137952761747167782908305022673421539820582372935756475519420987620815003269167262328734426905655860215429690698064245392540518334891358692246472853148442898990907811576291249264933203370012499068156332143815666809842121607597886029144773273020019385346520975987150404919900595041899955781130929559328858369162849168326055231792626339698594904164793868535961242513444546665343097058226716891203478865937314756088320861703290455385466836358909573533966341411909421877776945884534417725337319753479531571081400803104751991349648017090851326073472929012408390747654643572500872923001906471506117873239855688250172803637537800187993118212969561929833008381213229989125554051922580250557686252266984987271209997744753180710237673937238821120279233976020811141431638770201071000005301192613599473527646847980524935857435077154039709960084764410690835227004742993852811696361341094869720587559621454371112223179558059879804438418052403649656553509955885507675790963530753563870389523437615854621337666912456338363797545848392420320332035640634954821179163559418323613333634429282219789710059979953724568355527071606831373825085223994409234943253700852454020046913805904474804252887585912262031879243291266949874309274821581662058021859840061710318783374393613759758218819534848000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

10349062101922404990829182916756412911972788499117769572250963715038226297462309706234749187106172295051847660908809339928170607860373539658715904374589498666841548933492718011979376320594015450183928434109808011781836435308231472399495350372281976736764160727348353192173223874822656894011592697146852159717517196573413921573043678938953826660131141525019843559311299612030801125834257414170544274407611568738904637684805176945836438181905918944488649437989924477634563885101196505259455258614818254756392017064732919350553014187185857949116529474346328487217525550646160293323940238494358566921243810720125635097965084878234874750170604023516532511894262881944786437056865576704392412582201002120302996629695500198081061467271147253987427048721824544503964852107798842269090633855420331158581937402665142847818093170326502478900659137952761747167782908305022673421539820582372935756475519420987620815003269167262328734426905655860215429690698064245392540518334891358692246472853148442898990907811576291249264933203370012499068156332143815666809842121607597886029144773273020019385346520975987150404919900595041899955781130929559328858369162849168326055231792626339698594904164793868535961242513444546665343097058226716891203478865937314756088320861703290455385466836358909573533966341411909421877776945884534417725337319753479531571081400803104751991349648017090851326073472929012408390747654643572500872923001906471506117873239855688250172803637537800187993118212969561929833008381213229989125554051922580250557686252266984987271209997744753180710237673937238821120279233976020811141431638770201071000005301192613599473527646847980524935857435077154039709960084764410690835227004742993852811696361341094869720587559621454371112223179558059879804438418052403649656553509955885507675790963530753563870389523437615854621337666912456338363797545848392420320332035640634954821179163559418323613333634429282219789710059979953724568355527071606831373825085223994409234943253700852454020046913805904474804252887585912262031879243291266949874309274821581662058021859840061710318783374393613759758218819534848000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

920의 팩토리얼은 920 이하의 모든 양의 정수의 곱입니다:

$920! = 920 \cdot 919 \cdot 918 \cdot 917 \cdot 916 \cdot 915 \cdot 914 \cdot 913 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 10349062101922404990829182916756412911972788499117769572250963715038226297462309706234749187106172295051847660908809339928170607860373539658715904374589498666841548933492718011979376320594015450183928434109808011781836435308231472399495350372281976736764160727348353192173223874822656894011592697146852159717517196573413921573043678938953826660131141525019843559311299612030801125834257414170544274407611568738904637684805176945836438181905918944488649437989924477634563885101196505259455258614818254756392017064732919350553014187185857949116529474346328487217525550646160293323940238494358566921243810720125635097965084878234874750170604023516532511894262881944786437056865576704392412582201002120302996629695500198081061467271147253987427048721824544503964852107798842269090633855420331158581937402665142847818093170326502478900659137952761747167782908305022673421539820582372935756475519420987620815003269167262328734426905655860215429690698064245392540518334891358692246472853148442898990907811576291249264933203370012499068156332143815666809842121607597886029144773273020019385346520975987150404919900595041899955781130929559328858369162849168326055231792626339698594904164793868535961242513444546665343097058226716891203478865937314756088320861703290455385466836358909573533966341411909421877776945884534417725337319753479531571081400803104751991349648017090851326073472929012408390747654643572500872923001906471506117873239855688250172803637537800187993118212969561929833008381213229989125554051922580250557686252266984987271209997744753180710237673937238821120279233976020811141431638770201071000005301192613599473527646847980524935857435077154039709960084764410690835227004742993852811696361341094869720587559621454371112223179558059879804438418052403649656553509955885507675790963530753563870389523437615854621337666912456338363797545848392420320332035640634954821179163559418323613333634429282219789710059979953724568355527071606831373825085223994409234943253700852454020046913805904474804252887585912262031879243291266949874309274821581662058021859840061710318783374393613759758218819534848000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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