The correct statement is:
Carbon dating is used for absolute dating, but index fossils are not.
Carbon dating provides an estimation of the age of organic materials (up to about 50,000 years) by measuring the amount of carbon-14 remaining in a sample, which gives an absolute age. In contrast, index fossils are used to establish the relative ages of rock layers by identifying specific fossils known to represent particular time periods, but they do not provide an absolute age.