1. Consider Unique Letters:
* The word "burger" has 6 unique letters: B, U, R, G, E, and R.
2. Start Small:
* 1-letter words: 6 (B, U, R, G, E, R)
* 2-letter words: We need to consider combinations:
* BU, BR, BG, BE, UR, UG, UE, RG, RE, GE
* That's 10 two-letter words.
* 3-letter words: This gets a bit more complex. You can start listing them, but it's helpful to use a system to make sure you don't miss any.
* 4-letter words: Keep going with the process of finding combinations.
* 5-letter words: And so on.
3. It's Time for Some Math:
* Factorials: The number of ways to arrange n items is n! (n factorial).
* For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
* Important Note: Since we have repeated letters ("R") we need to adjust for overcounting.
Calculating the Total:
It's very difficult to calculate all the possible words by hand. A computer program would be the most efficient way. Here's why it's complex:
* Permutations with Repetition: The formula for permutations with repetition is more complex than a standard factorial. You'd need to account for the repeated "R."
Let me know if you'd like to explore this further with a programming approach. We can use Python or another language to find all possible words!