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

Q: If a die has 1,6 and 3,4 and 2,5 opposite each other how many such dies can be made
A) 12
B) 8
C) 2
D) 27

Answer: A

Let’s take a blank die which has faces a,b,c,d,e,f

(a,b),(c,d),(e,f) are opposite pair of sides

(1,6),(3,4),(2,5) are 3 possible opposite side sets required

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