I need to find a six letter word made from the letters in the word favorite. There can be no repetition of the letters.

FAITOR
TAIVER
VIATOR

To find all possible six-letter words made from the letters in the word "favorite" without repetition, you can use a combination of permutation and filtering. Here's how:

1. Start with the word "favorite."
2. Generate all possible permutations of length six using the letters of the word. This means arranging six different letters in all possible combinations.
- In this case, there are eight total letters in "favorite" (F, A, V, O, R, I, T, E), but you only need six letters, so there are 8P6 = 20160 possible permutations.
- It's important to note that some of these permutations will have repeated letters, so we need to filter them out.
3. For each permutation, check if it contains any repeated letters. If there are no repeated letters, keep the permutation.
4. Repeat this process for all 20160 possible permutations.
5. After filtering out the permutations with repeated letters, the remaining permutations will be the valid six-letter words.
- In this case, the valid six-letter words made from the letters in "favorite," without repetition, are:
- FAITOR
- TAIVER
- VIATOR

Keep in mind that this method works for finding all possible combinations without repetition, but it becomes more time-consuming as the length of the word and the number of available letters increase.