Which of the following are correct statements about the law of supply?

(A) As the price of a good increases, the quantity supplied of that good increases.

(B) The law of supply holds only in the short run.

(C) There is a positive relationship between price and quantity supplied.

(D) Supply curve slopes downward to the right.

(E) A rise in price leads to a decrease in quantity supplied.

Choose the correct answer from the options given below: