Olympus TG-1 iHS has a 12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features TruePic VI processor. On the other hand, Samsung NX200 has a 20.0MP APS-C (23.5 x 15.7 mm ) sized CMOS sensor .
Samsung NX200's sensor provides 8MP more than Olympus TG-1 iHS'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 TG-1 iHS and NX200 sensor size comparison.
As seen above, Samsung NX200 has a 13.1x Larger sensor area than Olympus TG-1 iHS. 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.