Read the following passage and solve the questions based on it.
There are three projects – P1, P2 and P3. A student can select either one project or two projects or all the three projects subject to the conditions given below:
Condition 1: Both P1 and P2 have to be selected.
Condition 2: Either P1 or P3, but not both, has to be selected.
Condition 3: P2 can be selected only if P3 has been selected.
Condition 4: P1 can be selected only if P3 is selected.
How many different selections can be made if no conditions are imposed?