해결방법 - 팩토리얼

408479828515489256353474995482408358160497265910659964627093499965899020851244601523057075998189630761571573915775902022827388462056824913280383023299404143746088956859469192805413326179609395288550759267766567778513344579219396409879210452632138317526533536196130411663019544586462612597488979234580446395660782673845444445744446855627291878808156097739274830944977355758443500055387784290059300751838756648811927011205971860183777745097119216518533151831009400768021448911289481662701447360711223209656699002520448639971994566756090610988433892850569176843947513344124003111025471699286332054703221257479803948554799185113770298141157185620393078623204745722963720698814601900758867993711577337192974108712287297749642787549814125573511062877441959959260507852204098837246533731205586429495445967118104588944721998842997546998124028007142174958031760791583183391032548795783726631789230510072791194968120873322260682504816108290276311669974945205102145855184779926222627829030287142693286266992238150977861451748992852206601963644944460140583093508461742609331020447278800834251499762845396883436690995642125377603902309825187631767468294699985328703628219690641217645609747104661139112053822227409417921028438799401282694582506602919442719939153634607083979767632422894489890114396942195858649361345578680339826776670671845270671830154841858480190455309228288644778025813024881155217868366059367507592218734243130726544496608175222147001922603977244134716572158821985549126914876832955809281953139717211726184820291130209183555991241407805122458415669879589475928715662168928321719454680101336064798315065628256548290180972984451059066626333000912556158031738275175386225550858916243728654220881036238065191589359977031741231835062137110163347854168291465847975084637169658768234208654239463025500793325344468514105336014841926266134549270010837172219988723226653082422906138273681658890486944523549522576817468781761838856080901405866957872122666667194108909031450387743075081047741905664955902329075255693536749391178968154378514691238064222302637921456741313279637838800099969604859212696767294670969427836275465208799095194119907852867739507433497693801297921352579298871053850535218508291814815992495163658514825596955670792238036446958964327174516278331545376827058626704243676311184208250168934400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

408479828515489256353474995482408358160497265910659964627093499965899020851244601523057075998189630761571573915775902022827388462056824913280383023299404143746088956859469192805413326179609395288550759267766567778513344579219396409879210452632138317526533536196130411663019544586462612597488979234580446395660782673845444445744446855627291878808156097739274830944977355758443500055387784290059300751838756648811927011205971860183777745097119216518533151831009400768021448911289481662701447360711223209656699002520448639971994566756090610988433892850569176843947513344124003111025471699286332054703221257479803948554799185113770298141157185620393078623204745722963720698814601900758867993711577337192974108712287297749642787549814125573511062877441959959260507852204098837246533731205586429495445967118104588944721998842997546998124028007142174958031760791583183391032548795783726631789230510072791194968120873322260682504816108290276311669974945205102145855184779926222627829030287142693286266992238150977861451748992852206601963644944460140583093508461742609331020447278800834251499762845396883436690995642125377603902309825187631767468294699985328703628219690641217645609747104661139112053822227409417921028438799401282694582506602919442719939153634607083979767632422894489890114396942195858649361345578680339826776670671845270671830154841858480190455309228288644778025813024881155217868366059367507592218734243130726544496608175222147001922603977244134716572158821985549126914876832955809281953139717211726184820291130209183555991241407805122458415669879589475928715662168928321719454680101336064798315065628256548290180972984451059066626333000912556158031738275175386225550858916243728654220881036238065191589359977031741231835062137110163347854168291465847975084637169658768234208654239463025500793325344468514105336014841926266134549270010837172219988723226653082422906138273681658890486944523549522576817468781761838856080901405866957872122666667194108909031450387743075081047741905664955902329075255693536749391178968154378514691238064222302637921456741313279637838800099969604859212696767294670969427836275465208799095194119907852867739507433497693801297921352579298871053850535218508291814815992495163658514825596955670792238036446958964327174516278331545376827058626704243676311184208250168934400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

994의 팩토리얼은 994 이하의 모든 양의 정수의 곱입니다:

$994! = 994 \cdot 993 \cdot 992 \cdot 991 \cdot 990 \cdot 989 \cdot 988 \cdot 987 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 408479828515489256353474995482408358160497265910659964627093499965899020851244601523057075998189630761571573915775902022827388462056824913280383023299404143746088956859469192805413326179609395288550759267766567778513344579219396409879210452632138317526533536196130411663019544586462612597488979234580446395660782673845444445744446855627291878808156097739274830944977355758443500055387784290059300751838756648811927011205971860183777745097119216518533151831009400768021448911289481662701447360711223209656699002520448639971994566756090610988433892850569176843947513344124003111025471699286332054703221257479803948554799185113770298141157185620393078623204745722963720698814601900758867993711577337192974108712287297749642787549814125573511062877441959959260507852204098837246533731205586429495445967118104588944721998842997546998124028007142174958031760791583183391032548795783726631789230510072791194968120873322260682504816108290276311669974945205102145855184779926222627829030287142693286266992238150977861451748992852206601963644944460140583093508461742609331020447278800834251499762845396883436690995642125377603902309825187631767468294699985328703628219690641217645609747104661139112053822227409417921028438799401282694582506602919442719939153634607083979767632422894489890114396942195858649361345578680339826776670671845270671830154841858480190455309228288644778025813024881155217868366059367507592218734243130726544496608175222147001922603977244134716572158821985549126914876832955809281953139717211726184820291130209183555991241407805122458415669879589475928715662168928321719454680101336064798315065628256548290180972984451059066626333000912556158031738275175386225550858916243728654220881036238065191589359977031741231835062137110163347854168291465847975084637169658768234208654239463025500793325344468514105336014841926266134549270010837172219988723226653082422906138273681658890486944523549522576817468781761838856080901405866957872122666667194108909031450387743075081047741905664955902329075255693536749391178968154378514691238064222302637921456741313279637838800099969604859212696767294670969427836275465208799095194119907852867739507433497693801297921352579298871053850535218508291814815992495163658514825596955670792238036446958964327174516278331545376827058626704243676311184208250168934400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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