All Masks All Vessels
All Masks All Vessels
Combinatorial Complexity of All Masks All Vessels
When randomizing the order of obtaining All Masks All Vessels, the number of possible unique permutations is given by:
25! ≈ 1.55 × 1025
However, there are some restrictions:
- Sly Vessel Fragment 1 and Sly Vessel Fragment 2 must be obtained in the exact order Sly Vessel Fragment 1 → Sly Vessel Fragment 2. Reduces permutations by a factor of 2.
- 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. Reduces permutations by a factor of 4! = 24.
- Seer Vessel Fragment and Seer Mask Shard must be obtained in the exact order Seer Vessel Fragment 1 → Seer Mask Shard. Reduces permutations by a factor of 2.
Therefore, the total number of valid permutations is:
25! / (2 × 2 × 4!) ≈ 1.61 × 1023