Nope, that will not run on triple channel. The only chipset that supported triple channel memory was X58, and that's a desktop part released ~4 years ago. It just means it has three RAM slots, but AFAIK it will run on some kind of hybrid dual channel (dual channel for the first 16GB, and then single for the remaining).
The memory is marketed as "triple-channel" because it comes in packs of three
So It will run on a SINGLE channel with this configuration?
Intel platforms use channel-interleaved memory addressing. The first 16GiB will be dual-channel interleaved, while the third 8GiB will be single channel. This is of course assuming that the notebook doesn't have additional memory soldered to the motherboard as is sometimes the case