(A) Find all possible positive integer solutions to this equation and prove that there are no others:

(1 + 1/P)(1 + 1/Q)(1 + 1/R) (1 + 1/S) (1 + 1/T) = 14.4, with the restriction
P ≤ Q ≤ R ≤ S ≤ T

(B) What is the total number of positive integer solutions to the above equation without the restriction?