These options are not needed for an SSD drive because a standard erase makes it difficult to recover data from an SSD. With an SSD drive, Secure Erase and Erasing Free Space are not available in Disk Utility. You’ll also want to read “ OS X: About Disk Utility‘s erase free space feature.” A note at the end starts to get to the heart of the matter.
However, that Apple article skips over the nuance of completely erasing an SSD.
