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The figure known for having a hoofed bottom in mythology encompasses all the choices listed, making the answer "All of the above" accurate.

Silenus, a companion of Dionysus in Greek mythology, is often depicted as a sybaritic being, resembling a Satyr, with features such as a hoofed lower body. He embodies the spirit of drunkenness and revelry.

Pan, the Greek god of the wild, shepherds, and flocks, is another figure famously represented with goat-like features, including hoofed feet. His dual nature emphasizes his connection to nature and wilderness, illustrating the blending of human and animal traits.

Faunus, the Roman counterpart to Pan, also embodies similar characteristics with a goat-like form, denoting wildness and fertility. He is often associated with the countryside and is depicted as having a hoofed lower body, aligning him with the rustic and pastoral aspects of nature.

Thus, all three figures are mythological representations of beings with hoofed bottoms, affirming the correctness of the assertion that includes every option provided.