{"title":"公式nCr重新审视","authors":"Soumendra Nath Banerjee","doi":"10.15864/jmscm.1109","DOIUrl":null,"url":null,"abstract":"A formula expressing nCr in summation form is formulated by the use of algorithmic counting techniques. Initially, a general counting problem is mathematically modeled and its solution is given by a formula derived using algorithmic counting. Thus, by generalization\n a formula for nCr as a series is obtained.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"THE FORMULA nCr REVISITED\",\"authors\":\"Soumendra Nath Banerjee\",\"doi\":\"10.15864/jmscm.1109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A formula expressing nCr in summation form is formulated by the use of algorithmic counting techniques. Initially, a general counting problem is mathematically modeled and its solution is given by a formula derived using algorithmic counting. Thus, by generalization\\n a formula for nCr as a series is obtained.\",\"PeriodicalId\":270881,\"journal\":{\"name\":\"Journal of Mathematical Sciences & Computational Mathematics\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Sciences & Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15864/jmscm.1109\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sciences & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15864/jmscm.1109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A formula expressing nCr in summation form is formulated by the use of algorithmic counting techniques. Initially, a general counting problem is mathematically modeled and its solution is given by a formula derived using algorithmic counting. Thus, by generalization
a formula for nCr as a series is obtained.
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