Which preposition to use with arbitrariness

of Occurrences 4%

Lord Chatham was brother-in-law to Mr. Grenville, to whom in the occasional arrogance and arbitrariness of his disposition he bore some resemblance; and one of the earliest acts of his administration, when coupled with the language which he held on the subject in the House of Lords, displayed that side of his character in a very conspicuous light.

in Occurrences 1%

XI Hardly any memory left behind by Keith's childhood was more acute than the image of Granny seated in the centre of the kitchen, her stolid, yet pleasant old face bent over some household task, and her whole figure instinct with a passive protest against her enforced dependency or, maybe against life's arbitrariness in general.

with Occurrences 1%

The compounding of words is one principal means of increasing their number; and the arbitrariness with which that is done or neglected in English, is sufficient of itself to make the number of our words a matter of great uncertainty.

Which preposition to use with  arbitrariness