Some further theoretic properties of scheme called Γ1 non deranged permutations, the permutation which fixes the first element in the permutations were identified and studied in relation to admissible inversion in this paper. This was done first through some computation on this scheme using prime number p ≥ 5, the admissible inversion descent aid (ωp-1) is equi-distributed with descent number des (ωp-1) and also showed that the admissible inversion set Ai (ωi ) and admissible inversion set Ai (ωp-i ) are disjoint.