relative pronouns - "the set of elements >whose each< pair is ... " - Is this acceptable?

I have written the phrase:

"The set of elements whose each pair is ...".  

Is the 'whose each' acceptable?

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Context:
I was trying to ask this question in Quora, and the phrase I would like to write is "I would like to know sets of at least 3 words, whose each pair of words are false friends".

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EDIT: (By FumbleFingers)

I was hoping for something like this answer to the same question on ELU. I can't fully endorse any recent answers here, so unless anything changes today, default bounty assignment will apply...

the highest voted answer created after the bounty started with a minimum score of 2 will be awarded half the bounty amount. If two or more eligible answers have the same score (i.e., their scores are tied), the oldest answer is awarded the bounty. If there's no answer meeting those criteria, the bounty is not awarded to anyone.