Olympus E-M10 MIII has a 16.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic VIII processor. On the other hand, Samsung NX mini has a 20.5MP 1" (13.2 x 8.8 mm ) sized BSI-CMOS sensor . Samsung NX mini's sensor provides 4.5MP more than Olympus E-M10 MIII's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the E-M10 MIII and NX mini sensor size comparison.
As seen above, Olympus E-M10 MIII has a 1.9x Larger sensor area than Samsung NX mini. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.