into 426153, 462315 & 623451.
It is not too difficult to solve it, if you wish.
I've tried to find an example that provides more answers, searched 7-letter words, surfed the web and finally got a set of 5 letters allowing 5 permutations.
Prior to giving you the sequences I must admit that:
a. proper names (people or geographical entities) are allowed.
b. plural form is OK -S is one of the letters.
The 5 permutations are:
12345
32451
51243
54123
12435
What are the words and their meanings?