16 Mask Shards
Combinatorial Complexity of 16 Mask Shards
When randomizing the order of obtaining 16 Mask Shards, the number of possible unique permutations is given by:
16! = 16 x 15 x 14 x ... x 2 x 1
Sly Mask Shard 1, Sly Mask Shard 2, Sly Mask Shard 3 and Sly Mask Shard 4 have specific restrictions. They must be obtained in the exact order Sly Mask Shard 1 → Sly Mask Shard 2 → Sly Mask Shard 3 → Sly Mask Shard 4. This restriction reduces the total number of valid permutations.
Without restrictions, the total number of permutations would be:
16! = 20,922,789,888,000
However, due to the restrictions on the order of the Sly Mask Shards, only 1 out of every 24 permutations is valid, which reduces the total number of permutations by a factor of 4! = 24.
16! / 4! = 871,782,912,000