r- PERMUTATION AND r-COMBINATION TECHNIQUES FOR k-INCLUSION CONDITION

¹Mark. Laisin, O.C. Okoli , R. Ujumadu and N. Nsiegbe

¹Department of Mathematics/ Statistics, Anambra State University, Uli, Anambra State

E-mail: laisinmark@yahoo.com

ABSTRACT

In this work, we studied the r-permutation and r-combination of a set of n distinct elements such that a fixed group k of elements (k n) must be in each permutation or combination. For the purpose of simplicity in solving problems of this nature, we derived a generalized formula for obtaining the solution to such problems.

         KEY WORDS AND PHRASES.  r- permutation, r-combination, k- inclusion.