Entrance, the act of entering, refers merely to the fact of passing from without to within some enclosure; admission and admittance refer to entering by or with some one's consent, or at least to opportunity afforded by some one's act or neglect.

J. C. Fernald, English Synonyms and Antonyms (1914)

Example sentences

access Sami doesn't have access to those e-mails anymore.
admission There is no admission fee for children under five.
accession Most Albanians support the accession of their country to the EU.
entrance I must sit for the entrance examination next year.
reception Please come pick up your package at the reception.
acceptance Self-acceptance is the basis of an authentic life.

Popularity over time

Word	1850 → 2019	Trend
admittance		falling
access		rising
admission		falling
accession		steady
entrance		steady
reception		steady

Use in printed books, per decade from 1850 to 2019.

By length

6 letters: access², entree²
8 letters: entrance²
9 letters: admission³, reception³, accession³
10 letters: acceptance³, initiation⁵

The small number after each word is its number of syllables (access² = 2 syllables).