A series select transistor and a source select transistor are connected in series at the end of a NAND string of floating gate data storage transistors. The floating gates, the series select gate, and the source select gate are all preferably formed of polysilicon. The same tunnel oxide layer is used as gate oxide for the series select transistor and source select transistor as well as for the floating gate data storage transistors. Two layers of polysilicon in the series select gate and the source select gates are tied together. The series select transistor is tied to the last transistor in the NAND string. The source select transistor is tied to the array Vss supply. In order to program inhibit a specific NAND cell during the programming of another NAND cell, the gate of the series select transistor is raised to Vcc, while the gate of the source select transistor is held to ground. The two transistors in series are able to withstand a much higher voltage at the end of the NAND string without causing gated-diode junction or oxide breakdown in either the series or the source select transistor.