Bakare, G. N.,Makanjuola, S. O.2020-02-202020-02-202015Bakare, G. N., and Makanjuola, S. O. (2015)http://hdl.handle.net/123456789/3816Let Cn be the symmetric inverse semigroup on Xn = {1,2,...,n}, Anc be the alternating semigroups of Xn. In this paper, we discuss some combinatorial properties in Anc and obtained some triangle of numbers for it.enSymmetric Inverse Semigroup,Alternating Semigroup,derrangement,even/odd derrangementheight.Article