The assertion is not true.
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It would be odd if there wasn't.
5 rows with 14 in each row7 rows with 10 in each row
No because you can't put into even rows
If they can stand in rows of 5 the total number must be a multiple of 5. Also, if they can stand in rows of 6 the total number must be a multiple of 6. The smallest such number is the least common multiple of 5 and 6, which is 30. So there can by 6 rows of 5-in-a-row or 5 rows of 6-in-a-row.
1 row of 180 - 2 rows of 90 - 3 rows of 60 - 4 rows of 45 - 5 rows of 36 - 6 rows of 30 - 9 rows of 20 - 10 rows of 18 - 12 rows of 15 - 15 rows of 12 - 18 rows of 10 - 20 rows of 9 - 30 rows of 6 - 36 rows of 5 - 45 rows of 4 - 60 rows of 3 - 90 rows of 2 - 180 rows of 1 - total of 18 ways within the limits of the question