This strategy is called a "Straddle";$$ Buy one call with X $=$ $$50$ and buy $1$ put with X$=$$$50.$

I.$$ If S $=$ $$60,$ the sum of the intrinsic values is $$10$

II$.$ Regardless of the value of S$,$ the minimum sum of intrinsic values is $$0$

III.$$ If the call is $"$in the money" the put is "out of the money".$$

A$.$

I and III

B$.$

I, II$,$ and III

C$.$

III only

D$.$

II only

E$.$

II and III