Answer: 6 ways
there are 6 ways to move from one corner of a cube to the diagonally opposite corner in three moves
Explanation:
Given that;
-It's restricted to three moves.
-It has to move from one diagonal to its opposite diagonal.
-it can only move through the edges.
Hence, in the first move.
We have three(3) different options that is three different possible moves that can lead us to the final destination.
The second move.
We have two (2) different possible moves each
The last move
We have just one(1) possible move.
To get the total possible ways, we will multiply the possible options for each move.
Move 1 = 3 options
Move 2 = 2 options each
Move 3 = 1 option each
3 × 2 × 1 = 6 ways