Using the digits 1,2,3,4,5 to create a 4 digit number sequence by combining two of the digits beginning with  the second  and using the third digit combined in the sequence...examples... 1, 23, 4, 5  and  2, 34, 5, 1 or 4, 51, 2, 3...list all possible combinations in order

To form the four-digit number sequences from the digits 1, 2, 3, 4, 5, we will follow these rules:

1. You must combine two digits starting with the second digit (e.g., 23, 34, etc.).
2. Then, the third digit will combine in sequence.

So, here's the full set of combinations:

1. 1, 23, 4, 5  
2. 1, 23, 5, 4  
3. 1, 24, 3, 5  
4. 1, 24, 5, 3  
5. 1, 25, 3, 4  
6. 1, 25, 4, 3  
7. 2, 31, 4, 5  
8. 2, 31, 5, 4  
9. 2, 34, 1, 5  
10. 2, 34, 5, 1  
11. 2, 35, 1, 4  
12. 2, 35, 4, 1  
13. 3, 41, 2, 5  
14. 3, 41, 5, 2  
15. 3, 42, 1, 5  
16. 3, 42, 5, 1  
17. 3, 45, 1, 2  
18. 3, 45, 2, 1  
19. 4, 51, 2, 3  
20. 4, 51, 3, 2  
21. 4, 52, 1, 3  
22. 4, 52, 3, 1  
23. 4, 53, 1, 2  
24. 4, 53, 2, 1  
25. 5, 12, 3, 4  
26. 5, 12, 4, 3  
27. 5, 13, 2, 4  
28. 5, 13, 4, 2  
29. 5, 14, 2, 3  
30. 5, 14, 3, 2  

These combinations cover all possible ways to follow the pattern of combining digits while following the sequence constraints.

Would you like more details or have any questions?

Here are 5 relative questions for further exploration:

1. What would happen if the sequence involved 5 digits instead of 4?
2. How would the solution change if the digits could repeat?
3. Can we calculate the total number of possible sequences mathematically?
4. What if the combined digits needed to appear at the end instead of the middle?
5. How would the solution change if the digits had to follow a specific order (e.g., ascending)?

**Tip:** When working with sequences or combinations, it's often helpful to use tree diagrams to visualize all possibilities easily!

Using the digits 1,2,3,4,5 to create a 4 digit number sequence by combining two of the digits beginning with the second and using the third digit combined in the sequence...examples... 1, 23, 4, 5 and 2, 34, 5, 1 or 4, 51, 2, 3...list all possible combinations in order

Explore how to create 4-digit sequences from the digits 1, 2, 3, 4, 5 by combining two digits, starting with the second and using the third digit combined in the sequence. This solution covers combinatorial concepts, permutation formulas, and provides all possible combinations in order. Suitable for students in Grades 6-8.

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