Nikon D3000 has a
10.0MP APS-C (23.6 x 15.8 mm ) sized CCD sensor and features Expeed processor. On the other hand, Panasonic FZ60 has a
16.0MP 1/2.3-inch (6.08 x 4.56 mm ) sized CMOS sensor .
Panasonic FZ60's sensor provides 6MP more than Nikon D3000'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 D3000 and FZ60 sensor size comparison.
As seen above, Nikon D3000 has a 13.5x Larger sensor area than Panasonic FZ60. 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.