Inductance is represented by the letter L and is expressed in terms of henry (H), that's the unit of inductance.
Total inductance of coils connected in series is equal to the sum of the individual inductances
Since the coils are connected in series, we use:
LT - Series = L1 + L2 + L3 + L4
LT - Series = 4H + 2H + 2H + 6H
LT = 14H
Total inductance of coils connected in parallel is equal to the sum of the individual inductances.
1/ LT = 1/L1 + 1/L2 + 1/L3 + 1/L4
1/ LT = 1/4 + 1/2 + 1/2 + 1/6
Common Denominator is 12.
1/LT = 3/12 + 6/12 + 6/12 + 2/12
1/LT = 17 ÷ 17 / 12 ÷ 17
1/LT = 1/ 12/17
LT = 12/17 H or 0.7 H