해결방법 - 팩토리얼

73980203447224978807121404344491999585061171902164333035701898547759213584415790590665220556815512528497875560160322943975021929902571120663615922799695253704956317743345569295156212998914811127813197617716855313121248608990878184242027072168158319973962813227630328863068809858256048259083123858125879001187255494908653037626051677956023773725396792399876351646121040098292270471327717008834027225309276514774388586493475350105569583059999821043628550373779702249911762263550045518986024604301334581620261442983986794009252146485201832978525491894221227199257337350589143235754832723478694321292327605789965287326289045713116317982322679033005712291125148066915292698793813904749795756483503760309876680675240583834068066410148461254879855714946817704266148292332124298533210857468157908323113808352475808466375173275392767202674188843970970713747463676510036564052188932679502837463515896938934066689644224270923101752267538409312655319995361270179849489604075037743770108579933919791938889811708622067496029213665522825593740130965686667771330561942987225699872651169547042165810468075829355106308350435612366654012928978051286618833555869963242848747483158291964871335258198995997338197313267802476720100058934424309048094661233234238693187152519319496916441440948397358207292356576104984470601552687577731775541225182596959777150279702977117186749385382430500438831208684941369451665765007037059577598183823707143442972243032499092635456564293551130697610542329938790659290129715489449820876336965711448883379345723664421929414254867251200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

73980203447224978807121404344491999585061171902164333035701898547759213584415790590665220556815512528497875560160322943975021929902571120663615922799695253704956317743345569295156212998914811127813197617716855313121248608990878184242027072168158319973962813227630328863068809858256048259083123858125879001187255494908653037626051677956023773725396792399876351646121040098292270471327717008834027225309276514774388586493475350105569583059999821043628550373779702249911762263550045518986024604301334581620261442983986794009252146485201832978525491894221227199257337350589143235754832723478694321292327605789965287326289045713116317982322679033005712291125148066915292698793813904749795756483503760309876680675240583834068066410148461254879855714946817704266148292332124298533210857468157908323113808352475808466375173275392767202674188843970970713747463676510036564052188932679502837463515896938934066689644224270923101752267538409312655319995361270179849489604075037743770108579933919791938889811708622067496029213665522825593740130965686667771330561942987225699872651169547042165810468075829355106308350435612366654012928978051286618833555869963242848747483158291964871335258198995997338197313267802476720100058934424309048094661233234238693187152519319496916441440948397358207292356576104984470601552687577731775541225182596959777150279702977117186749385382430500438831208684941369451665765007037059577598183823707143442972243032499092635456564293551130697610542329938790659290129715489449820876336965711448883379345723664421929414254867251200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

710의 팩토리얼은 710 이하의 모든 양의 정수의 곱입니다:

$710! = 710 \cdot 709 \cdot 708 \cdot 707 \cdot 706 \cdot 705 \cdot 704 \cdot 703 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 73980203447224978807121404344491999585061171902164333035701898547759213584415790590665220556815512528497875560160322943975021929902571120663615922799695253704956317743345569295156212998914811127813197617716855313121248608990878184242027072168158319973962813227630328863068809858256048259083123858125879001187255494908653037626051677956023773725396792399876351646121040098292270471327717008834027225309276514774388586493475350105569583059999821043628550373779702249911762263550045518986024604301334581620261442983986794009252146485201832978525491894221227199257337350589143235754832723478694321292327605789965287326289045713116317982322679033005712291125148066915292698793813904749795756483503760309876680675240583834068066410148461254879855714946817704266148292332124298533210857468157908323113808352475808466375173275392767202674188843970970713747463676510036564052188932679502837463515896938934066689644224270923101752267538409312655319995361270179849489604075037743770108579933919791938889811708622067496029213665522825593740130965686667771330561942987225699872651169547042165810468075829355106308350435612366654012928978051286618833555869963242848747483158291964871335258198995997338197313267802476720100058934424309048094661233234238693187152519319496916441440948397358207292356576104984470601552687577731775541225182596959777150279702977117186749385382430500438831208684941369451665765007037059577598183823707143442972243032499092635456564293551130697610542329938790659290129715489449820876336965711448883379345723664421929414254867251200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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