A taxpayer may quality for one of several exceptions to the additional tax on early distributions. Which of these would be an exception? Choose all of the allowed exceptions.SELECT ALL THAT APPLYaThe distribution was made to an employee who separated from service during or after the year in which they reached age $55$ge $50$ for qualified public safety employees$).$A $401($k$)$ distribution of $$10,000$ was made to pay qualified first$-$time homebuyer expenses.The distribution was made due to permanent and total disability.d The distribution was made in a year that $($and to the extent that$)$ the taxpayer's unreimbursed medicalexpenses exceed $7\mathrm{.}5\%$ of adjusted gross income $($whether the taxpayer itemizes or not$).$e An IRA distribution was made to buy a new car.f The distribution was made from a $401($k$)$ to pay qualified higher education expenses.