aitlin is an overworked clerk in a store that is open $6$ days a week, $16$ hours a day, with clerks working $8-$hour shifts. Caitlin gets exactly $2$ days off $($that is$,2$ days where the store is open, but Caitlin isn't working$)$ each week, but they are not necessarily $2$ days in a row. On workdays, Caitlin always works the earlier shift, but sometimes has to work a double shift $($work the whole $16$ hours$).$ Next week, Caitlin has to work $3$ double shifts. How many different schedules could Caitlin have next week?

A$.(62)(63)$

B$.(6231)$

C$.(71)$

D$.(62)(63)21$

E$.(7232)$