And that`s TN-S; so, without verifying calculations (cos I`m not the one doing it!), and if its done properly, I see no issue with using 2 core 10mm SWA (or 16, if you prefer.)
You will find the 2 core to be cheaper than the 3 core:
10.0mm 6942X 2 core SWA Steel Armoured Cable
10.0mm 6943X 3 core SWA Steel Armoured Cable
16.0mm 6942X 2 core SWA Steel Armoured Cable
16.0mm 6943X 3 core SWA Steel Armoured Cable
You will find the 2 core to be cheaper than the 3 core:
10.0mm 6942X 2 core SWA Steel Armoured Cable
10.0mm 6943X 3 core SWA Steel Armoured Cable
16.0mm 6942X 2 core SWA Steel Armoured Cable
16.0mm 6943X 3 core SWA Steel Armoured Cable