There are 30 True or False questions in an examination. A student knows the answer to 20 questions and guesses the answers to the remaining 10 questions at random. What is the probability that the student gets exactly 24 answers correct?\\
(A) $\frac{105}{2^9}$\\
(B) $\frac{105}{2^8}$\\
(C) $\frac{105}{2^{10}}$\\
(D) $\frac{4}{2^{10}}$