Given that 2^{2004} is a 604 -digit number whose first digit is 1 , how many elements of the set S=\left\{2^{0}, 2^{1}, 2^{2}, \ldots, 2^{2003}\right\} have a first digit of 4 ?
Answer Choices
A. 194
B. 195
C. 196
D. 197
E. 198
Given that 2^{2004} is a 604 -digit number whose first digit is 1 , how many elements of the set S=\left\{2^{0}, 2^{1}, 2^{2}, \ldots, 2^{2003}\right\} have a first digit of 4 ?
Answer Choices
A. 194
B. 195
C. 196
D. 197
E. 198