Question $3.(8$ pts total$)$ George Church at Harvard has proposed using DNA as a very

compact means for information storage, given the rapid advances in technology to

"read" and "write" DNA sequences. Information would be stored in sequential $($not

overlapping$)$ sequences, somewhat like the genetic code.

$($A$)(2$ pts$)$ How many sequences are possible in a $10-$bp$-$long DNA molecule?

$($B$)(6$ pts$)($From Wikipedia$)$ Unicode is a computing industry standard for the

consistent encoding, representation and handling of text expressed in most of the

world's writing systems. The latest version of Unicode contains a repertoire of $150,000$

characters covering $161$ scripts. Suppose we want to uniquely represent each Unicode

character using DNA sequences of fixed length. How long do these sequences need to

be$?$