The indoor positioning services based on fingerprinting mostly depend on the available access points in vicinity area. This paper explores the impact of number access points (APs) in indoor positioning accuracy based fingerprinting. The analysis is based on deterministic approach. The measurable analysis of test results demonstrates that, the positioning accuracy is highly affected by the number of access points. If the number of APs increased with well distribution positioning error is minimal. Hence, considering the adequate number of APs is guaranteeing an accuracy of an indoor positioning. The analysis could empower indoor positioning designer to enhance positioning performance and to model location fingerprinting based indoor positioning systems.