From Longman Dictionary of Contemporary Englishadmittancead‧mit‧tance /ədˈmɪtəns/ noun [uncountable] formalENTER permission to enter a place → admission Gaining admittance to the club was no easy matter.
Examples from the Corpus
admittance• Any revolutionary aspirations of the younger members are centred on gaining work and admittance to the mainstream of ordinary life.• She flicked her eyes to Steve standing on the porch terrace eagerly awaiting admittance to a house of horror.• Only by acquiring knowledge in this needlessly arcane system could one gain admittance to the society of adepts.• Those who gained admittance were fortunate.• Known for her preaching, Dinah Morris easily gains admittance to the prison in Stoniton when she asks to see Hetty.• In fact, a Harvard spokesman confirmed her admittance only when asked directly. 