In Sarah's first 8 gymnastics competitions, her scores were 2, 3, 4, 5, 6, 7, 8, and 9. In her ninth competition, she scored fewer than 10 points and her average score for the nine competitions was an integer. Similarly in her tenth competition, she scored fewer than 10 points and her average score for the 10 competitions was also an integer. What is the product of the number of points she scored in the ninth and tenth competitions?
5
10
15
20