Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52954#.VK3lAsnQrzE Author(s) Beih El-Sayed El-Desouky , Mohamed Moustafa Gad , Shimaa El-Eraqy Affiliation(s) Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . ABSTRACT In this article we apply and discuss El-Desouky technique to derive a generalization of the problem of selecting k balls from an n -line with no two adjacent balls being s -separation. We solve the problem in which the separation of the adjacent elements is not having odd and even separation. Also we enumerate the number of ways of selecting k objects from n -line objects with no two adjacent being of separations m , m + 1 , …, pm, where p is positive integer. Moreover we discuss some applications on these problems. KEYWORDS Probability Function , s s-Separation , s -Successions , n -Line , n -Circle Cite this paper El-Desouky, B. , Gad, M....
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