Below is a 7x7 square grid. On the top row is a single word with seven letters. From the permutation of the letters of this word, one word has been created. Is it possible to create a solution with 15 words (Merriam-Webster online dictionary) from a single 7-letter word (of your choice) in the top row, using permutations? Words can be read horizontally, vertically and diagonally. The following restrictions apply: No two same letters are allowed to appear in any row any column or in either of the two diagonals.
addendum: If you put the word ARTICLE in the top row and then perform the permutations in the sequence of the given example, then more than 10 words are created. Here are 10 of them: ART, ARTIC, EAR, LEA, CLEAR, RECTAL, TIC, LEAR, IRE, TALI.
2nd addendum: The word maximum was not intended to be interpreted with mathematical meaning, because it is impossible to calculate the maximum number of word with traditional mathematical methods. I changed the wording of the puzzle.
As a table for accessibility:
1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|
C | E | N | T | U | R | Y |
R | Y | C | E | N | T | U |
T | U | R | Y | C | E | N |
E | N | T | U | R | Y | C |
Y | C | E | N | T | U | R |
U | R | Y | C | E | N | T |
N | T | U | R | Y | C | E |
CENT