Let n be the number of ways in which 20 identical balloons can be distributed among 5 girls and 3 boys such that everyone gets at least one balloon and no girl gets fewer balloons than a boy does. Then

A

$$9000 \geq n < 10000$$

B

$$8000 \geq n < 9000$$

C

$$7000 \geq n < 8000$$

D

$$6000 \geq n < 7000$$