The correct order of increasing basic nature for the bases $\mathrm{NH}_3, \mathrm{CH}_3 \mathrm{NH}_2$, and $\left(\mathrm{CH}_3\right)_2 \mathrm{NH}$ is
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(a) $\mathrm{CH}_3 \mathrm{NH}_2<\mathrm{NH}_3<\left(\mathrm{CH}_3\right)_2 \mathrm{NH}$
(b) $\left(\mathrm{CH}_3\right)_2 \mathrm{NH}<\mathrm{NH}_3<\mathrm{CH}_3 \mathrm{NH}_2$
(c) $\mathrm{NH}_3<\mathrm{CH}_3 \mathrm{NH}_2<\left(\mathrm{CH}_3\right)_2 \mathrm{NH}$
(d) $\mathrm{CH}_3 \mathrm{NH}_2<\left(\mathrm{CH}_3\right)_2 \mathrm{NH}<\mathrm{NH}_3$