3. What is the remainder when the number
$$
(\underbrace{999999999 \ldots 999)^{2007}}_{20089_{9} \mathrm{~s}}-(\underbrace{333333333 \ldots 333}_{20083^{\prime} 8})^{2007}
$$
is divided by 11 ?
(A) 0
(B) 2
(C) 4
(D) 6
(E) None of the above
3. (A)
Observe that each of the two numbers is divisible by 11 , hence the difference is also divisible by 11 . Hence the remainder is zero,