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Given the limited enrolment capacity of Hong Kong universities, mainland universities will remain the first choice for the majority of mainland students.

I find that "given" is ambiguous, do you think so ?

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3 given
Given is used when indicating a possible situation in which someone has the opportunity or ability to do something. For example, given the chance means `if I had the chance'.
Write down the sort of thing you would like to do, given the opportunity.
Given patience, successful breeding of this species can be achieved.
PREP

4 given
If you say given that something is the case, you mean taking that fact into account.
Usually, I am sensible with money, as I have to be, given that I don't earn that much.
PHR-CONJ-SUBORD
= considering
5 given
If you say given something, you mean taking that thing into account.
Given the uncertainty over Leigh's future I was left with little other choice.
PREP

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Could it has the 3rd explanation or the 4th and 5th ?

That is, does the sentence mean "If the capacity is limited..." or "Considering the capacity is limited.."

Is it ambiguous?Emotion: smile
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It's the fourth and fifth meaning (these are the same thing)- taking into acount that that the universities have a limited enrolment capacity.

It's not ambiguous.
Comments  
Thanks!