If that's your board, check out the manual (available here). It has recommendations for which RAM slots should be populated, based on number of sticks used. Yours actually is a triple-channel board, so performance is best with 3 or 6 DIMMs, but you can also run dual channel with 2 or 4 sticks.
Personal opinion, take it for what you will - you're probably just fine getting a 12GB kit now (3 x 4GB; may want to update your BIOS before trying 4GB sticks?), and by the time you get a cpu and motherboard, you'll be going with DDR4 anyway. Pocket the extra cash and save it for your new system or other upgrades. 12GB should allow for having a tab-heavy browser open + playing a modern game at the same time. Unless you're doing some really heavy video editing, or running virtual machines on your PC, or in general running a bunch of memory-hungry apps at once while trying to play a game, you probably don't need more than 12GB. It's not overkill, but it's not holding you back at all.
Looking at ASUS's updated PDF of memory recommendations, I don't see any 24GB kits listed. There's one 12GB kit listed, and it was run at only 1066MHz (instead of that RAM's advertised 1600MHz speed). That, and the manual recommends additional cooling for 6-DIMM configurations. Even though you don't have to stick exactly to a manufacturer's list of supported RAM, I'd be hesitant to buy a 24GB kit, 6 x 4GB at 1600MHz, and expect it to run at full speed.
And all of this is dependent on having a 64-bit OS. If you're running 32-bit Windows 7, for example, you're not going to be able to take advantage of more than 4GB of RAM.
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