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Would this situation change if there were multiple children.  For example, if the parents were divorced, both owned their own houses and had 3 children which they split time with 50/50. Each parent claims one of the 3 kids as a full time dependent and each year they would alternate claiming the 3rd child as a dependent. With each parent still claiming at least one full time dependent every year, could they claim head-of-household? 

Wasn't sure if this would be any different than the 1 child scenario but figured I'd ask.

Thanks!