Admission was ________ ladies.
The correct preposition with "restricted" is "to." The phrase "restricted to ladies" means admission was only allowed for ladies.
Other options are grammatically incorrect:
- "limited of" → wrong usage.
- "restricted by" → changes the meaning.
- “limited by” → incorrect in this context. \[ \boxed{\text{restricted to}} \]
Focus on which preposition each verb genuinely collocates with, since "restricted" and "limited" pair with different prepositions depending on intended meaning (exclusivity versus cause).
Only option C correctly expresses exclusivity of admission for ladies.
Hence, the correct answer is restricted to.