해결방법 - 팩토리얼

404811679655420162831420790022976331104216000462782238144742200336205247644000425001380023455725887877332661182012234422662398513667554625559125183750175494535249078026871159454020714510516502918859573449542023999862294744898006230118495142767501715435145265041089160566285629076076178336363528201053913987027748845434312354621661722863758797736458855981576142963091459103732677424890401987134568231087244614105595906645342232879327420946147085954196724127566936349124616300066102117370388363412036425233981845477815011185046055546620917301757756492771065635888864674293769563088462963426740792851986330587635309096777088431448640863849594093521948777168367106371506486939246775690053359128047372704981201216050957815850995317616794725860933532802531158826348491691306029688059858299360263358576862333384009735998395293387429026080874235638038226908635579674766404181076507597588766635763220092337530037307147879826781575922859637829630391178570197160328585405220602485148631125595164151900556314647852382080255912286896393786678011412858888520657328755756160699227883662237202759921294975045219423429510501259091713019267082957446834196429413579460451869638277819259511152171575661282082827578903807281348097603418982659175985155693625226124314100034968312365629319083736897370901169657654939838690080695383790375132216169212100141197120051378591038345020551418612747919141223917722444011908132154387374040610009627412620127028633808652121845338993528482386817340835764118895755181238995866114601200522551164883680604915859905087658440059963032458739097164070762434875795522651345390413977074026066936426196338914804486535147847050688556208028530564361403732613265464311257245412203175859970905977524532647366168887524437996195573183279118914080990437860208484660268377127875232495465460524392647531796201282875186848670097428645768264661017566139854413453224492077737742748441151983997593650371761728047864077647912101617543153294911242272590431005120522705811028347963261142266819933183352084598326160159897408789381646181020352195629310746405586360232922059776286386691007675071877807576966750324364824122374305711531224079319276711080348987206656744884510962266018833136767191786957412246087354318944882557088861362463095008868523738879665272827516489122152128099343151640236439568097909774060082417369088000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

404811679655420162831420790022976331104216000462782238144742200336205247644000425001380023455725887877332661182012234422662398513667554625559125183750175494535249078026871159454020714510516502918859573449542023999862294744898006230118495142767501715435145265041089160566285629076076178336363528201053913987027748845434312354621661722863758797736458855981576142963091459103732677424890401987134568231087244614105595906645342232879327420946147085954196724127566936349124616300066102117370388363412036425233981845477815011185046055546620917301757756492771065635888864674293769563088462963426740792851986330587635309096777088431448640863849594093521948777168367106371506486939246775690053359128047372704981201216050957815850995317616794725860933532802531158826348491691306029688059858299360263358576862333384009735998395293387429026080874235638038226908635579674766404181076507597588766635763220092337530037307147879826781575922859637829630391178570197160328585405220602485148631125595164151900556314647852382080255912286896393786678011412858888520657328755756160699227883662237202759921294975045219423429510501259091713019267082957446834196429413579460451869638277819259511152171575661282082827578903807281348097603418982659175985155693625226124314100034968312365629319083736897370901169657654939838690080695383790375132216169212100141197120051378591038345020551418612747919141223917722444011908132154387374040610009627412620127028633808652121845338993528482386817340835764118895755181238995866114601200522551164883680604915859905087658440059963032458739097164070762434875795522651345390413977074026066936426196338914804486535147847050688556208028530564361403732613265464311257245412203175859970905977524532647366168887524437996195573183279118914080990437860208484660268377127875232495465460524392647531796201282875186848670097428645768264661017566139854413453224492077737742748441151983997593650371761728047864077647912101617543153294911242272590431005120522705811028347963261142266819933183352084598326160159897408789381646181020352195629310746405586360232922059776286386691007675071877807576966750324364824122374305711531224079319276711080348987206656744884510962266018833136767191786957412246087354318944882557088861362463095008868523738879665272827516489122152128099343151640236439568097909774060082417369088000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

996의 팩토리얼은 996 이하의 모든 양의 정수의 곱입니다:

$996! = 996 \cdot 995 \cdot 994 \cdot 993 \cdot 992 \cdot 991 \cdot 990 \cdot 989 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 404811679655420162831420790022976331104216000462782238144742200336205247644000425001380023455725887877332661182012234422662398513667554625559125183750175494535249078026871159454020714510516502918859573449542023999862294744898006230118495142767501715435145265041089160566285629076076178336363528201053913987027748845434312354621661722863758797736458855981576142963091459103732677424890401987134568231087244614105595906645342232879327420946147085954196724127566936349124616300066102117370388363412036425233981845477815011185046055546620917301757756492771065635888864674293769563088462963426740792851986330587635309096777088431448640863849594093521948777168367106371506486939246775690053359128047372704981201216050957815850995317616794725860933532802531158826348491691306029688059858299360263358576862333384009735998395293387429026080874235638038226908635579674766404181076507597588766635763220092337530037307147879826781575922859637829630391178570197160328585405220602485148631125595164151900556314647852382080255912286896393786678011412858888520657328755756160699227883662237202759921294975045219423429510501259091713019267082957446834196429413579460451869638277819259511152171575661282082827578903807281348097603418982659175985155693625226124314100034968312365629319083736897370901169657654939838690080695383790375132216169212100141197120051378591038345020551418612747919141223917722444011908132154387374040610009627412620127028633808652121845338993528482386817340835764118895755181238995866114601200522551164883680604915859905087658440059963032458739097164070762434875795522651345390413977074026066936426196338914804486535147847050688556208028530564361403732613265464311257245412203175859970905977524532647366168887524437996195573183279118914080990437860208484660268377127875232495465460524392647531796201282875186848670097428645768264661017566139854413453224492077737742748441151983997593650371761728047864077647912101617543153294911242272590431005120522705811028347963261142266819933183352084598326160159897408789381646181020352195629310746405586360232922059776286386691007675071877807576966750324364824122374305711531224079319276711080348987206656744884510962266018833136767191786957412246087354318944882557088861362463095008868523738879665272827516489122152128099343151640236439568097909774060082417369088000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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