해결방법 - 팩토리얼

531446595523432843309595655631676286918046700071120401951121139499225260808779708253903734438579590789001567153256499026974532145208122087873643313306238289189070623658269698543016547402779591888649821568947095967496820022015143814991298321623724586736242929731448582724523878255343501096687265376303239361025918751770644401625269318998349491371513845669986016371039203358546775743309263112257802733644515736161158277200593641584468163391031508709255925531720432417399397442586490351189223051857477322232784555620263962080211294980593689348354074642641419065770259997965278766562695474414784029601731032192887853279697168309510321834158868839832160194459232470535773935552828427939438139920174853066256157337475265221413689055659821514620159138737381903471930839173567784984608652338571500836858629834993489420696073770679958505677500706543075458196223232993099866824056061656530375249557266073544002062832304070020854394095599009731571825503710515946245616086467874985327113506815553912665121909211818895457574478120861263240544796953288512737175339519420428515653132585494951810164111095791356148825933936848475005597564646811601043886740810111363317973619287471225594514719384113094057275533464876718487027885994428192751270761270328807798198078494715115050102309625310737791820125680444445664535449858199311172122931539597027016399726415572094543616377441753276166801327868248001066353613627657855132931794234372500578178697171717501684483683436319852820597930849359309611520290156953864688369716277148702264642133369599310927408515520524174389991919208129940512190542284195854452891769732343195225930966414266576044452215306379724595581360970088058225508356818341607443242137454667120300909936562310074286053489832971224543966796565406830553329005029707988433862113152344039405042073966044969105238018192931865625944812435825950091974172074435157791358126665952051058450240785300288120531940144405333610961027397547478369603286969963354599551697570083604071140919952955293539053017619227758643093192832276743328192515465444835252850336693050127801446586017331993048426463712130494517101027942772280353910146890682015563832787826393249564472331961617434770469083563423242370503470449067872272145399337603689464181492554975227074272323172834806543155200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

531446595523432843309595655631676286918046700071120401951121139499225260808779708253903734438579590789001567153256499026974532145208122087873643313306238289189070623658269698543016547402779591888649821568947095967496820022015143814991298321623724586736242929731448582724523878255343501096687265376303239361025918751770644401625269318998349491371513845669986016371039203358546775743309263112257802733644515736161158277200593641584468163391031508709255925531720432417399397442586490351189223051857477322232784555620263962080211294980593689348354074642641419065770259997965278766562695474414784029601731032192887853279697168309510321834158868839832160194459232470535773935552828427939438139920174853066256157337475265221413689055659821514620159138737381903471930839173567784984608652338571500836858629834993489420696073770679958505677500706543075458196223232993099866824056061656530375249557266073544002062832304070020854394095599009731571825503710515946245616086467874985327113506815553912665121909211818895457574478120861263240544796953288512737175339519420428515653132585494951810164111095791356148825933936848475005597564646811601043886740810111363317973619287471225594514719384113094057275533464876718487027885994428192751270761270328807798198078494715115050102309625310737791820125680444445664535449858199311172122931539597027016399726415572094543616377441753276166801327868248001066353613627657855132931794234372500578178697171717501684483683436319852820597930849359309611520290156953864688369716277148702264642133369599310927408515520524174389991919208129940512190542284195854452891769732343195225930966414266576044452215306379724595581360970088058225508356818341607443242137454667120300909936562310074286053489832971224543966796565406830553329005029707988433862113152344039405042073966044969105238018192931865625944812435825950091974172074435157791358126665952051058450240785300288120531940144405333610961027397547478369603286969963354599551697570083604071140919952955293539053017619227758643093192832276743328192515465444835252850336693050127801446586017331993048426463712130494517101027942772280353910146890682015563832787826393249564472331961617434770469083563423242370503470449067872272145399337603689464181492554975227074272323172834806543155200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

976의 팩토리얼은 976 이하의 모든 양의 정수의 곱입니다:

$976! = 976 \cdot 975 \cdot 974 \cdot 973 \cdot 972 \cdot 971 \cdot 970 \cdot 969 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 531446595523432843309595655631676286918046700071120401951121139499225260808779708253903734438579590789001567153256499026974532145208122087873643313306238289189070623658269698543016547402779591888649821568947095967496820022015143814991298321623724586736242929731448582724523878255343501096687265376303239361025918751770644401625269318998349491371513845669986016371039203358546775743309263112257802733644515736161158277200593641584468163391031508709255925531720432417399397442586490351189223051857477322232784555620263962080211294980593689348354074642641419065770259997965278766562695474414784029601731032192887853279697168309510321834158868839832160194459232470535773935552828427939438139920174853066256157337475265221413689055659821514620159138737381903471930839173567784984608652338571500836858629834993489420696073770679958505677500706543075458196223232993099866824056061656530375249557266073544002062832304070020854394095599009731571825503710515946245616086467874985327113506815553912665121909211818895457574478120861263240544796953288512737175339519420428515653132585494951810164111095791356148825933936848475005597564646811601043886740810111363317973619287471225594514719384113094057275533464876718487027885994428192751270761270328807798198078494715115050102309625310737791820125680444445664535449858199311172122931539597027016399726415572094543616377441753276166801327868248001066353613627657855132931794234372500578178697171717501684483683436319852820597930849359309611520290156953864688369716277148702264642133369599310927408515520524174389991919208129940512190542284195854452891769732343195225930966414266576044452215306379724595581360970088058225508356818341607443242137454667120300909936562310074286053489832971224543966796565406830553329005029707988433862113152344039405042073966044969105238018192931865625944812435825950091974172074435157791358126665952051058450240785300288120531940144405333610961027397547478369603286969963354599551697570083604071140919952955293539053017619227758643093192832276743328192515465444835252850336693050127801446586017331993048426463712130494517101027942772280353910146890682015563832787826393249564472331961617434770469083563423242370503470449067872272145399337603689464181492554975227074272323172834806543155200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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