What is the missing number in the question mark?

What is the missing number in the question mark?
(My own puzzle)

$$(4, 3, 2),(4, 4, 4),(7, 9, 3),(8, 8, 4),(4, 12, 2),( 5, ?, 10)$$

A) $$1$$
B) $$3$$
C) $$5$$
D) $$10$$
E) $$66$$
F) $$14$$

Logic:

Arithmetic progression of the units after; (Product of any two numbers out of three) + Remaining number.

Interpretation:

1. (3*2) +4= 10
2. (4*4) +4= 20
3. (7*3) +9= 30
4. (8*4) +8= 40
5. (12*4)+2= 50