You have to reach Four from Five in the minimum number of tries with the following rules.
- You are only allowed to change one letter at a time.
- You have to keep the word length the same.
- At each step of the way, you must have a legitimate English word. Thus, something like going from "FIVE" to "FOVE" is not a valid step, but from "BEAN" to "BEEN" would be.
For example: How do you go from $LAND$ to $SANE$?
Answer: $LAND$ $\rightarrow$ $SAND$ (1) $\rightarrow$ $SANE$ (2). Done in 2 steps, all real words.
Answer
Just signed up to share some of the solutions (3 of them) I was able to come up with in 6 steps:
1) FIVE $\rightarrow$ FAVE $\rightarrow$ FARE $\rightarrow$ FART $\rightarrow$ FAUT $\rightarrow$ FAUR $\rightarrow$ FOUR
2) FIVE $\rightarrow$ FAVE $\rightarrow$ FACE $\rightarrow$ FACT $\rightarrow$ FAUT $\rightarrow$ FAUR $\rightarrow$ FOUR
3) FIVE $\rightarrow$ DIVE $\rightarrow$ DOVE $\rightarrow$ DORE $\rightarrow$ DORR $\rightarrow$ DOUR $\rightarrow$ FOUR
OH MAN! After a lot of searching I was able to do it in 5 steps (5 solutions):
1) .. FIVE $\rightarrow$ FIRE $\rightarrow$ ... FORE .... $\rightarrow$ FORD $\rightarrow$ FOUD $\rightarrow$ FOUR
2,3) FIVE $\rightarrow$ FINE $\rightarrow$ FIND/FONE $\rightarrow$ FOND $\rightarrow$ FOUD $\rightarrow$ FOUR
4,5) FIVE $\rightarrow$ FINE $\rightarrow$ FINS/FONE $\rightarrow$ FONS $\rightarrow$ FOUS $\rightarrow$ FOUR
I confirmed the words on Anagrammer.
EDIT: although all words are accepted on Anagrammer, someone pointed out in the comments that two of the words used in the 6-step solutions should be considered French. I agree with that, so I am not sure about the correctness of those answers. However, the 5-step solutions use only english words.
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