This is the 11505th most frequent Russian word.
допустимым
"Acceptable" or "permissible."
The word 'допустимой' here describes the error as being allowable or acceptable within a specific context.
Эта ошибка была признана допустимой в данном контексте.
This error was deemed acceptable in this context.
In this sentence, 'допустимых' modifies 'решений', meaning the solutions are considered valid or permissible.
На собрании было предложено несколько допустимых решений.
Several acceptable solutions were proposed at the meeting.
The usage of 'допустимым' here refers to the noise level being within acceptable limits or standards.