Can anyone please help me solve this question?
Q. A bird sits on each of the 8 vertices of a cube. Whenever we make a gunshot in air, each bird flies to a vertex of the cube in the same face but diagonally opposite. For instance, if ABCD is a face, and a bird is on A, then it can move to D but not B or C. If we fire a gunshot, how many ways are there for birds to fly so that again, each vertex has one bird on it?
Q. A bird sits on each of the 8 vertices of a cube. Whenever we make a gunshot in air, each bird flies to a vertex of the cube in the same face but diagonally opposite. For instance, if ABCD is a face, and a bird is on A, then it can move to D but not B or C. If we fire a gunshot, how many ways are there for birds to fly so that again, each vertex has one bird on it?
