We need to order the sets from smallest to largest by containment, meaning that a smaller set should be a subset of the larger ones.

Here is the ordered sequence based on set containment:

1. $\emptyset$ (Set 10)
2. $\{2\}$ (Set 5)
3. $\{1\}$ (Set 6)
4. $\{4\}$ (Set 7)
5. $\{2, 4\}$ (Set 3)
6. $\{3, 4\}$ (Set 9)
7. $\{3, 4, 1\}$ (Set 8)
8. $\{3, 2, 1\}$ (Set 4)
9. $\{3, 2, 4, 1\}$ (Set 2)
10. $\{2, 4, 1, 5\}$ (Set 11)
11. $\{3, 2, 4, 1, 5\}$ (Set 1)

Final ordering:

1. ∅ (Set 10)
2. {2} (Set 5)
3. {1} (Set 6)
4. {4} (Set 7)
5. {2, 4} (Set 3)
6. {3, 4} (Set 9)
7. {3, 4, 1} (Set 8)
8. {3, 2, 1} (Set 4)
9. {3, 2, 4, 1} (Set 2)
10. {2, 4, 1, 5} (Set 11)
11. {3, 2, 4, 1, 5} (Set 1)

All sets are part of the sequence.

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Would you like more details or have any questions?

Here are five related questions:

1. What is a subset in set theory?
2. What is the definition of the empty set?
3. Can a set be a subset of itself?
4. How can we visualize the subset relations between sets using diagrams?
5. What is the largest possible subset of a set?

Tip: In set theory, a set is always a subset of itself. This is called the reflexive property of sets.