TITLE:
Generalization of Some Problems with s-Separation
AUTHORS:
Beih El-Sayed El-Desouky, Mohamed Moustafa Gad, Shimaa El-Eraqy
KEYWORDS:
Probability Function, ss-Separation, s-Successions, n-Line, n-Circle
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.1,
January
7,
2015
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.