Cathy, her spouse Jack, and their daughter Kelly were in an automobile accident this year in which they all sustained various injuries. They were insured under Cathy's group major medical policy that has a $$250$ per individual$/$$$500$ family deductible, an $80\%$ coinsurance provision, and a $$15,000$ maximum out$-$of$-$pocket limit$.$ The medical expenses were itemized as follows: Cathy$$$$12,000$; Jack$$$$10,000$; and Kelly$-$$$13,000,$ with a $$3,500$ out$-$of$-$pocket maximum. Assuming no other medical expenses during the calendar year, how much of these medical expenses did the family have to pay?

A$.$ $$15,750$

B$.$ $$6,750$

C$.$ $$3,500$

D$.$ $$3,600$