Using letters P, C, B, L for the component statements, translate the following compound statements into symbolic notation. P : the project is finished soon C : the client will be happy B : the bill will be paid L : the lights go out.

a. If the project is finished soon, then the client will be happy and the bills will be paid.
b. If the bills are not paid, then the lights will go out.
c. The project will be finished soon only if the lights do not go out.
d. If the bills are not paid and the lights go out, then the client will not be happy.
e. The bills will be paid if and only if the project is finished soon, or else the lights go out.
f. The bills will be paid if and only if either the project is finished soon or the lights go out.