do cores come with cylinders

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Answer
The Schlage small format interchangeable core rim cylinders 80-329, 80-159, 80-116, and 08-129 can accept 6 pin and 7 pin small format cores.
Rim cylinder housing only for FSIC is part number 20-079.
Rim cylinder housing only for SFIC is part number 80-129.
The "C" indicates small format IC core, which is the only core style Falcon products.  The C987 will be provided less core unless -6, or -7 suffix is specified (6 or 7 pin core) Example:...
The Schlage B and BD cylinder suffixes designate less small format interchangeable core (SFIC) cylinder prep for the lock. Any SFIC, 6-pin or 7-pin, can be inserted into the lock and will operate t...
Only the Schlage ND-Series can be prepped to accept non-Schlage cores. All designs are supplied with the appropriate tailpiece Non-Schlage cores are NOT included Lever designs available vary d...
The full size interchangeable cores or FSIC from Schlage.
Conventional Cylinders - A conventional cylinder is one that requires some breakdown of the lock in order to be removed. These are the most commonly used cylinders sometimes called key-in-lever...