해결방법 - 팩토리얼

47233245066922563248409088337271433772768643880500837033906752614028254957767468999647302592933176489088323770444527291678980983070613047296994623768416721053381614055490069133485584567119952196986947783677589223175662140107179887508588070261587775781774062605851756015108064768988052466089340410892518040719195839197422709081943789273274821953762791243642725718855984854634715014976754110227294600367805530593804922572673868182656477810272287633512606961175820184919518900182961133811579429125905181001251755676125467234771704209490934501494467912011962110424356230868918306332139308470759028745163916697884676275108830979240212956390293381861146648688592922598784841766374732474530667808595933178607913009481812908187332656855671715835065766838738808856799238984184768404592941323829496806990934125136086871581659529084016543936674632625525146078698994216737080685851713890903234349122375861586903964584594836567126748368081474800338762587880791067199885772491314652457429062979284166696234536485635082958018691692170212356970079040773767353010209455087340353375308347805636585766214123540487206371404714532230209244754643271815287231314956774622102317093603726692485751375711525270439474667960020554676531512381117004418143182280322679896601383188519889789619012362979181127464465638072171614872302494173195891065842450105113061749701275036780687107434462425553388947985443861397746435136340381313147581042226591842630060845122033409374467784852528389706520812962701485009008162518878868604498778319111258965801687574850489036070733009589245536226635120997108150428343156067597196042914828570542489716223602256152952376827624611413048090483282032554929658265600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

47233245066922563248409088337271433772768643880500837033906752614028254957767468999647302592933176489088323770444527291678980983070613047296994623768416721053381614055490069133485584567119952196986947783677589223175662140107179887508588070261587775781774062605851756015108064768988052466089340410892518040719195839197422709081943789273274821953762791243642725718855984854634715014976754110227294600367805530593804922572673868182656477810272287633512606961175820184919518900182961133811579429125905181001251755676125467234771704209490934501494467912011962110424356230868918306332139308470759028745163916697884676275108830979240212956390293381861146648688592922598784841766374732474530667808595933178607913009481812908187332656855671715835065766838738808856799238984184768404592941323829496806990934125136086871581659529084016543936674632625525146078698994216737080685851713890903234349122375861586903964584594836567126748368081474800338762587880791067199885772491314652457429062979284166696234536485635082958018691692170212356970079040773767353010209455087340353375308347805636585766214123540487206371404714532230209244754643271815287231314956774622102317093603726692485751375711525270439474667960020554676531512381117004418143182280322679896601383188519889789619012362979181127464465638072171614872302494173195891065842450105113061749701275036780687107434462425553388947985443861397746435136340381313147581042226591842630060845122033409374467784852528389706520812962701485009008162518878868604498778319111258965801687574850489036070733009589245536226635120997108150428343156067597196042914828570542489716223602256152952376827624611413048090483282032554929658265600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

756의 팩토리얼은 756 이하의 모든 양의 정수의 곱입니다:

$756! = 756 \cdot 755 \cdot 754 \cdot 753 \cdot 752 \cdot 751 \cdot 750 \cdot 749 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 47233245066922563248409088337271433772768643880500837033906752614028254957767468999647302592933176489088323770444527291678980983070613047296994623768416721053381614055490069133485584567119952196986947783677589223175662140107179887508588070261587775781774062605851756015108064768988052466089340410892518040719195839197422709081943789273274821953762791243642725718855984854634715014976754110227294600367805530593804922572673868182656477810272287633512606961175820184919518900182961133811579429125905181001251755676125467234771704209490934501494467912011962110424356230868918306332139308470759028745163916697884676275108830979240212956390293381861146648688592922598784841766374732474530667808595933178607913009481812908187332656855671715835065766838738808856799238984184768404592941323829496806990934125136086871581659529084016543936674632625525146078698994216737080685851713890903234349122375861586903964584594836567126748368081474800338762587880791067199885772491314652457429062979284166696234536485635082958018691692170212356970079040773767353010209455087340353375308347805636585766214123540487206371404714532230209244754643271815287231314956774622102317093603726692485751375711525270439474667960020554676531512381117004418143182280322679896601383188519889789619012362979181127464465638072171614872302494173195891065842450105113061749701275036780687107434462425553388947985443861397746435136340381313147581042226591842630060845122033409374467784852528389706520812962701485009008162518878868604498778319111258965801687574850489036070733009589245536226635120997108150428343156067597196042914828570542489716223602256152952376827624611413048090483282032554929658265600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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