Admissible

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early 17th century: from medieval Latin admissibilis, from Latin admittere (see admit).

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Borrowed from Middle French admissible.

etymonline

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admissible (adj.)

1610s, "allowable," from French admissible, from past participle stem of Latin admittere "allow to enter, admit, give entrance," from ad "to" (see ad-) + mittere "let go, send" (see mission). Meaning "capable of being allowed entrance" is from 1775; specific sense of "capable of being used in a legal decision or judicial investigation" is recorded from 1849.