This study will also investigate how the subject's body processes the combination of LBH589 and carboplatin with etoposide. To determine this, the investigators will measure the amount of study drug in the subject's blood. This will be done with a series of blood tests, called pharmacokinetic (PK) tests. Pharmacokinetics is the study of how the study drug moves through the body. Other purposes of this study will be to sample the subject's genetic material (DNA/RNA) as well as to determine biomarkers in their blood. (For some cancers, biomarkers are a way to measure the extent of their disease or the effects of treatment.) These samples will also be stored for future studies.