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In a uniformly doped BJT, assume that $N_{E}, N_{H}$ and $N_{C}$ are the emitter, base and collector dopings in $\text{atoms/cm}^{3}$, respectively. If the emitter injection efficiency of the BJT is close to unity, which one of the following conditions is $\text{TRUE}?$

1. $\mathrm{N}_{\mathrm{E}}=\mathrm{N}_{\mathrm{B}}=\mathrm{N}_{\mathrm{C}}$
2. $\mathrm{N}_{\mathrm{E}} \gg \mathrm{N}_{\mathrm{H}}$ and $\mathrm{N}_{\mathrm{B}}>\mathrm{N}_{\mathrm{C}}$
3. $N_{\mathrm{E}}=\mathrm{N}_{\mathrm{B}}$ and $\mathrm{N}_{\mathrm{B}}<\mathrm{N}_{\mathrm{C}}$
4. $\mathrm{N}_{\mathrm{H}}<\mathrm{N}_{\mathrm{B}}<\mathrm{N}_{\mathrm{C}}$