John's digital clock is broken. It scrambles the digits of the time and displays them in a random order. For example, if the current time is 4:21, it could display 4:12, 2:14, or any other reordering of 4, 1, and 2. If his clock reads 6:71 one morning, how many possibilities are there for the correct time?<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>6