Shimano MTB and Road Components Compatibility What chain would be suitable for a drive train that uses a Deore SL-T610 right shifter, Deore RD-T610-SGS derailleur, 105 CS-5700 10-speed cassette (11t-28t), and 105 FC-5700 crankset? According to the Shimano compatibility chart, The RD-T610 is compatible with the 105 CS-5700. It's also stated that you can use the following chains:


CN-M981
CN-M980
CN-HG95
CN-HG94
CN-HG75
CN-HG74
CN-HG54




But when I look at the crankset and chain compatibility, the only chains compatible with that crankset are:


CN-7901
CN-6701
CN-5701
CN-4601




The inner ring of the 5700 crankset will be removed as it will be a 1x10 setup. Would the chains that are compatible with the derailleur/cassette combination work with the crankset?
You need a 10 speed chain. You can buy one from Shimano, SRAM or KMC. There isn't a compatibility issue between different Shimano/SRAM Mountain/road drivetrains in regards to the chain. The only 10 speed chain on the market you can't get are ones marked for Campagnolo (*).  

I'd prefer an SRAM one (e.g. PC-1051) or KMC one (any 10 speed chain that is marked Shimano/SRAM compatible, which is pretty much all they sell) because they use a special link, rather than a special rivet like Shimano (which is annoying, at best). The SRAM link is one time use, but the KMC one can be disconnected multiple times. 

(*) Well, depending on who you ask, it will work; I don't know anyone who would actually run that situation. Plus, there are 2 varieties of 10 speed chains for Campy as well.