Step 1: Understand the question.
We must find the one statement that is wrong. So we check each option and look for the false one.
Step 2: Check the ionisation enthalpy order.
The claim is $B < Be < C$. Beryllium has a full $2s^2$ shell, which is very stable, so it is harder to remove an electron from Be than from Boron. So Boron is lowest and the order $B < Be < C$ is correct.
Step 3: Check the IUPAC name of Livermorium.
Livermorium has atomic number 116. The old systematic name uses the digits: un (1), un (1), hex (6), giving ununhexium. So this statement is correct.
Step 4: Check the oxide statement.
Aluminium oxide and arsenic trioxide can both act as an acid and as a base. That makes them amphoteric, so this statement is correct.
Step 5: Check the group of Tennessine.
Tennessine has atomic number 117. It sits right below Astatine, which is a halogen in group 17. So Tennessine is in group 17, not group 16.
Step 6: Pick the wrong statement.
Three statements are correct and only the group claim is false. So the statement that Tennessine belongs to group 16 is the not correct one. \[ \boxed{\text{Tennessine is in group 17, so option (3) is wrong}} \]