해결방법 - 팩토리얼

4867553051465485940281417137532092355070506430993358710295884653780240599383368031417886776716899796108779269296238159700590390046084874756817669266648571561398777354707100594992195030249889970352811127121327390651643596588500315842140606016276264793274806295535563691010956408595929580026183448543546245740560057750350142722015580633287341492871010531219548361456797839813827708133941848763004472865926968606278868176528609668186633286333310004731186719644723368997212603681328604792075418711571795194697320462952728333646312287255635174855262783333629098566169675461258601780147127087806365121806816540943570166332621557202677960754144110981784600550152624791559403118579105813924300962957538632418342661241597654468211767442335413774343836119646510059747374638344508371557909137561107596189645165493021231514911166928841231718631341220217867777961077981004567609873661960112750128477874748626250333646636838622080638390550577165540799754247636997673619566378421704775283476946634780452423112568893099022372925377040700377726622185012577343196600286972487243925300785440931696865925590083418967092605512816018451058556502310671672602228767653614017786510223275880737536635714321539648237901230509117182374424234370873799081265018207459555046072811126409171223096056989642394171737668054856458899234935137784155370540618979334782417884084847821957184449850510212140560873576382199443189368366187231022897712877366388699601533140498929641893721217860797621281055106699811894059431788892689352059339950224952932568575886317197425365871761731102568506495857034340882284242260942003411639331348196559266680407018180152655872000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

4867553051465485940281417137532092355070506430993358710295884653780240599383368031417886776716899796108779269296238159700590390046084874756817669266648571561398777354707100594992195030249889970352811127121327390651643596588500315842140606016276264793274806295535563691010956408595929580026183448543546245740560057750350142722015580633287341492871010531219548361456797839813827708133941848763004472865926968606278868176528609668186633286333310004731186719644723368997212603681328604792075418711571795194697320462952728333646312287255635174855262783333629098566169675461258601780147127087806365121806816540943570166332621557202677960754144110981784600550152624791559403118579105813924300962957538632418342661241597654468211767442335413774343836119646510059747374638344508371557909137561107596189645165493021231514911166928841231718631341220217867777961077981004567609873661960112750128477874748626250333646636838622080638390550577165540799754247636997673619566378421704775283476946634780452423112568893099022372925377040700377726622185012577343196600286972487243925300785440931696865925590083418967092605512816018451058556502310671672602228767653614017786510223275880737536635714321539648237901230509117182374424234370873799081265018207459555046072811126409171223096056989642394171737668054856458899234935137784155370540618979334782417884084847821957184449850510212140560873576382199443189368366187231022897712877366388699601533140498929641893721217860797621281055106699811894059431788892689352059339950224952932568575886317197425365871761731102568506495857034340882284242260942003411639331348196559266680407018180152655872000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

단계 보기

단계별 설명

1. 팩토리얼을 찾아보세요

740의 팩토리얼은 740 이하의 모든 양의 정수의 곱입니다:

$740! = 740 \cdot 739 \cdot 738 \cdot 737 \cdot 736 \cdot 735 \cdot 734 \cdot 733 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 4867553051465485940281417137532092355070506430993358710295884653780240599383368031417886776716899796108779269296238159700590390046084874756817669266648571561398777354707100594992195030249889970352811127121327390651643596588500315842140606016276264793274806295535563691010956408595929580026183448543546245740560057750350142722015580633287341492871010531219548361456797839813827708133941848763004472865926968606278868176528609668186633286333310004731186719644723368997212603681328604792075418711571795194697320462952728333646312287255635174855262783333629098566169675461258601780147127087806365121806816540943570166332621557202677960754144110981784600550152624791559403118579105813924300962957538632418342661241597654468211767442335413774343836119646510059747374638344508371557909137561107596189645165493021231514911166928841231718631341220217867777961077981004567609873661960112750128477874748626250333646636838622080638390550577165540799754247636997673619566378421704775283476946634780452423112568893099022372925377040700377726622185012577343196600286972487243925300785440931696865925590083418967092605512816018451058556502310671672602228767653614017786510223275880737536635714321539648237901230509117182374424234370873799081265018207459555046072811126409171223096056989642394171737668054856458899234935137784155370540618979334782417884084847821957184449850510212140560873576382199443189368366187231022897712877366388699601533140498929641893721217860797621281055106699811894059431788892689352059339950224952932568575886317197425365871761731102568506495857034340882284242260942003411639331348196559266680407018180152655872000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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