16 Mask Shards
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! = 20,922,789,888,000
However, there are some restrictions:
- Sly Mask Shard 1, Sly Mask Shard 2, Sly Mask Shard 3, and Sly Mask Shard 4 must be obtained in the exact order Sly Mask Shard 1 → Sly Mask Shard 2 → Sly Mask Shard 3 → Sly Mask Shard 4. This reduces valid permutations by a factor of 4! = 24.
Therefore, the total number of valid permutations is:
16! / 4! = 871,782,912,000