There are more than 1\:000\:000 ways in which n identical black socks and 2 n identical gold socks can be arranged in a row so that there are at least 2 gold socks between any 2 black socks. The sum of the digits of the smallest possible value of n is
Answer Choices
A. 9
B. 10
C. 11
D. 12
E. 13