Each of the 20 balls is tossed independently and at random into one of the 5 bins. Let p be the probability that some bin ends up with 3 balls, another with 5 balls, and the other three with 4 balls each. Let q be the probability that every bin ends up with 4 balls. What is qp?<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>8<spanclass=′latex−bold′>(D)</span>12<spanclass=′latex−bold′>(E)</span>16