Four couples—JJ, KK, LL, MM—are standing in a line. Their positions are numbered consecutively from 1 to 8, and each person is holding hands with the persons on either side of him or her.
J and J are holding hands.
K and K are not holding hands.
L and L are holding hands.
One of the Ls is at one end of the line, and one of the Ms is at the other end.
If J is in position 2, it must be true that