As I understand them, the two terms "copyleft license" and "permissive license" are not exclusive.
A "permissive license" is any license which permits use without specific individual permission from the user CC-By and CC-0 are permissive licenses, because they permit people to reuse the content without directly askign for permission. They also permit many other things as well. I would call even the CC-BY-NC-ND license permissive, although it forbids commercial use and the making or derivative works.
A copyleft license specifically requires reusers to grant to others permission on the same terms as they have been granted. The CC-BY-SA is a copyleft license in this sense. Many copyleft licenses also require that if a work under the license is incorporated into a larger work, the entire work must be distrusted under the same license. These are sometimes called "viral" licenses. The GPL is of this sort. Some people only use the term "copyleft" for this sort of license.
In any case, I think pretty much all copyleft licenses are also permissive, but not all permissive licenses are also copyleft. It might with some work be possible to create a copyleft license that was not permissive, but I don't know of any, and it would seem rather pointless.
However the Wikipedia article Permissive software license defines a "Permissive software license" as one that grants reuse rights, and also allows a user the right to re-license the work including placing it under a proprietary license, nd cites the BSD license. By this definition no copyleft license is permissive.
The FreeBSD or 2-clause BSD license requires that a copyright notice and the 2 condition's be included when a work is redistributed. It does not require that the work be distributed under the FreeBSD license, or a similar license.
The FreeBSD project has said that software releases under the FreeBSD license may be re-licensed under a proprietary license. "Why you should use a BSD style license for your Open Source Project - GPL Advantages and Disadvantages" by Bruce Montague includes the statement:
In contrast to the GPL, which is designed to prevent the proprietary commercialization of Open Source code, the BSD license places minimal restrictions on future behavior. This allows BSD code to remain Open Source or become integrated into commercial solutions, as a project's or company's needs change.
This is not a copyleft license at all.