Say I am playing with a creature that has double strike (e.g. Two-Headed Cerberus), and I cipher Hidden Strings to it. This allows me to tap/untap up to 2 target permanents whenever the creature deals combat damage to a player.
If my creature then attacked a player and wasn't blocked, and he took the double strike damage, would I then be able to tap/untap 2 target permanents twice? In effect tap/untap 4 target permanents?
I am asking this because my friends and I play with a few different ciphers and have had arguments about this a few times.