Stat-mech: Quadratic composition dependence

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Summary:

Where did it say in stat-mech that the second virial coefficient of a mixture must be quadratically composition-dependent?
I am quite unsure where to post this, as I am a chemical engineer and that I am working with phase equilibrium. My issue however is regarding statistical mechanics, thus me posting my problem here.

I keep on encountering that the second virial coefficient of a mixture must be quadratically composition-dependent, and that it is stipulated in statistical mechanics that it must be so.

May I know what, why, or where did this 'stipulation from statistical mechanics' come from?
 

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Since the 2nd viral coefficient relates to the effects of binary interactions between molecules, doesn't. it make sense that it should be quadratically composition-dependent?
 
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Since the 2nd viral coefficient relates to the effects of binary interactions between molecules, doesn't. it make sense that it should be quadratically composition-dependent?
I honestly thought there was a 'deeper meaning' to this, lol. So this basically (and literally) means the 1-1, 1-2, 2-1, and 2-2 interactions.

Thanks!
 
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