A cube is painted on all its faces. It is then cut into 64 smaller identical cubes, which are then thoroughly. What is the probability that 2 randomly chosen smaller cubes have exactly 2 coloured faces each?
I have a doubt , there will be 24 identical cubes whose 2 faces will be painted, 8 identical cubes with 3 faces painted, 24 identical cubes with one face painted and 8 identical cubes with no face painted. Now total cases to pick 2 smaller cubes should be 4C2 not 64C2 . correct me if I am wrong