No they are not, but are in the same family - The ermine or stoat (Mustela erminea) is a small mammal of the family Mustelidae. In North America it is known as the ermine or short-tailed weasel; elsewhere, "ermine" refers to the animal only when it has white fur, which it moults to in winter in snowy parts of its range.
The ferret is a domestic mammal of the type Mustela putorius furo, belonging to the family Mustelidae (weasels)
Source: Wikipedia
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