Wall Vault

How do I run wire for an outlet down the inside of an exterior brick wall?

I would like to install an outlet in my living room. The wall where the outlet is needed is an exterior wall with brick on the outside. Also my ceiling in the living room is vaulted. Can I run the wire on the inside of the brick wall starting from the attic and pull the wire through the drywall to the interior and if so,how is this accomplished?
I may not have been very clear in the original question. I would like the wire to run down the inside of the wall between the drywall and brick. (If that is possible) Thanks for any help

use a fish wire.

First determine where you want the outlet. Then cut the hole in the drywall for the box. then carefully measure horizontally to a common reference point you can see both from the box and from the top of the wall. Measure over at the top of the wall and bore a hole in the wood at the top of the wall. then run your fish wire down and wiggle it until a helper can grab it and pull it through the box opening.

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