$.$ An investor holds a stock of company XYZ$,$ currently trading at $$80$ and decides to buy a put option on the stock at a price of $$8,$ with a strike price of $$90,$ maturing in one year. Which of the following statements in correct?

a$.$ The strategy provides downside protection, but the investor can no longer benefit from likely increases in the stock price.

b$.$ The strategy provides downside protection, while the maximum profit is theoretically unlimited.

c$.$ The strategy allows the investor to profit when the stock price declines below $$90,$ but upside potential is limited$.$

d$.$ The strategy allows the investor to set a maximum price of $$90.$

e$.$ None of the above