{"title":"部分重复的二项式系数与选择","authors":"Michael Z. Spivey","doi":"10.1080/0025570X.2023.2231335","DOIUrl":null,"url":null,"abstract":"Summary The binomial coefficients can be used to count the number of ways selection can be made both with and without repetition. We give a combinatorial interpretation of the binomial coefficients that generalizes both of these cases to partial repetition.","PeriodicalId":18344,"journal":{"name":"Mathematics Magazine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Binomial Coefficients and Selection with Partial Repetition\",\"authors\":\"Michael Z. Spivey\",\"doi\":\"10.1080/0025570X.2023.2231335\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary The binomial coefficients can be used to count the number of ways selection can be made both with and without repetition. We give a combinatorial interpretation of the binomial coefficients that generalizes both of these cases to partial repetition.\",\"PeriodicalId\":18344,\"journal\":{\"name\":\"Mathematics Magazine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/0025570X.2023.2231335\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0025570X.2023.2231335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
The Binomial Coefficients and Selection with Partial Repetition
Summary The binomial coefficients can be used to count the number of ways selection can be made both with and without repetition. We give a combinatorial interpretation of the binomial coefficients that generalizes both of these cases to partial repetition.
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