Question

If a die has 1,6 and 3,4 and 2,5 opposite each other how many such dies can be made?

Answer 1

all those 3 positions can be placed on 3 position on a die 
so i think the answer is 3 * 3 =9

Answer 2

1,6    3,4    2,5
6,1    3,4    2,5
1,6    4,3    2,5
1,6    3,4    5,2
6,1    4,3   2,5
6,1    4,3    5,2
1,6    3,4    2,5

These three can be arranged in above blank cube in 3*2 = 6 ways 

Each of these pairs can be arranged in 2 ways (1,6) or (6,1). 

Therefore Total number of dice possible = 6*2 = 12