The correct answer is option 'A,C', which means that the System-Period and Series-Epoch are correctly matched chronostratigraphic units with the corresponding geochronologic units.

Explanation:

- Chronostratigraphy: Chronostratigraphy is a branch of stratigraphy that deals with the relative dating of rock layers and their correlation with time. It involves the subdivision of the geologic time scale into units based on the relative ages of rocks and the fossils they contain.

- Geochronology: Geochronology is the science of determining the age of rocks, fossils, and sediments using various dating methods. It provides absolute ages in terms of years or millions of years.

- Chronostratigraphic Units: Chronostratigraphic units are the units used in chronostratigraphy to represent time-rock units. These units are defined based on the relative ages of rocks and the fossils they contain. They include systems, series, stages, and zones.

- Geochronologic Units: Geochronologic units are the units used in geochronology to represent absolute ages of rocks, fossils, and sediments. They provide numerical ages in terms of years or millions of years. They include periods, epochs, and ages.

Now let's analyze each option:

a) System-Period: The system is a chronostratigraphic unit, and the period is a geochronologic unit. This is a correct matching because systems represent a subdivision of the geologic time scale based on relative ages, and periods represent a subdivision of the geologic time scale based on absolute ages.

b) Stage-Era: The stage is a chronostratigraphic unit, and the era is a geochronologic unit. This is an incorrect matching because stages represent a subdivision of the geologic time scale based on relative ages, while eras represent a subdivision of the geologic time scale based on absolute ages.

c) Series-Epoch: The series is a chronostratigraphic unit, and the epoch is a geochronologic unit. This is a correct matching because series represent a subdivision of the geologic time scale based on relative ages, and epochs represent a subdivision of the geologic time scale based on absolute ages.

d) Chronozone-Age: The chronozone is a chronostratigraphic unit, and the age is a geochronologic unit. This is an incorrect matching because chronozone represents a subdivision of the geologic time scale based on relative ages, while age represents a specific numerical age in years or millions of years.

Therefore, the correct matching of chronostratigraphic units with the corresponding geochronologic units is option 'A,C' (System-Period and Series-Epoch).