The degree of kinematic indeterminacy (DOF) for a frame without axial deformation can be determined using the following formula:
\[
DOF = 3n - 2r
\]
Where:
- \( n \) is the number of joints,
- \( r \) is the number of reactions.
Using this formula for the given frame, the kinematic indeterminacy is 20. Thus, the correct answer is 20.