In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
(A) \($9.85 × 10^6\)
(B) \($9.90 × 10^6\)
(C) \($1.00 × 10^7\)
(D) \($1.05 × 10^7\)
(E) \($9.90 × 10^7\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) EditionGRE - Math Book