max_score to keep track of the maximum score found.letter_count from the list of letters.backtrack that takes the current index i and the current score current_score.i is beyond the last index, update max_score with the maximum of max_score and current_score.i to the end.letter_count.letter_count, add the word's score to current_score, and recursively call backtrack with the next index and the updated score.letter_count (backtrack).max_score after exploring all combinations.