Which of the following drugs would likely be prescribed for management of major depression?

Fluoxetine is a selective serotonin reuptake inhibitor (SSRI) that is commonly prescribed for the management of major depression. It works by increasing the levels of serotonin in the brain, a neurotransmitter that is often found to be deficient in individuals with depression. By enhancing serotonin transmission, fluoxetine helps in alleviating symptoms of depression, such as low mood, loss of interest in activities, and difficulties with concentration.

The other drugs listed do not primarily target the treatment of major depression. Gabapentin, for example, is primarily used for neuropathic pain and seizure disorders, while selegiline is an MAO inhibitor that is typically utilized in the treatment of Parkinson's disease and certain cases of depression but is not as commonly prescribed as first-line treatment for major depression compared to fluoxetine. Carbamazepine is mainly used as an anticonvulsant and mood stabilizer in bipolar disorder, not specifically for depression.

Thus, fluoxetine is associated with the well-established treatment guidelines for major depressive disorder, making it the appropriate choice among the options.