Generalization of Some Problems with <i>s</i>-Separation

• 作者: Beih El-Sayed El-Desouky Mohamed Moustafa Gad Shimaa El-Eraqy
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Probability Function ss-Separation s-Successions n-Line n-Circle
• 年，卷（期）: 2015,（1）
• 页码范围: 1-6
• 页数: 6页
• 分类号: O1

摘要

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.