To make 26 using the numbers 1, 2, 3, and 4 each exactly once, you can use mathematical operations like addition, subtraction, multiplication, and division. One possible way is:

$26 = (3 \times 4 \times 2) + 1$

Explanation:

1. Multiply 3 and 4 to get 12.
2. Multiply 12 by 2 to get 24.
3. Add 1 to 24 to reach 26.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How can you make 30 using the numbers 1, 5, 6, and 7 exactly once?
2. Can you use the numbers 2, 3, 4, and 5 to make 50?
3. How can you create 100 using the digits 1 through 5?
4. What are other combinations to make a number using a specific set of digits?
5. How do mathematical operators change the outcomes of these puzzles?

Tip: When solving these puzzles, start by experimenting with multiplication and division first, as they tend to produce larger changes in value.