Question

Antonio is a freelance computer programer. In his work , he often uses the power of 2^n to find the number of ways bits (or units of information) can be arranged. The n often stands for the number of bits.
Antonio is working on Programing a new video game called Millie's Quest . In the game the main character , Millie.collects golden keys to help her quest. Antonio wants write formula to show that Millie can collect one less key than the highest number of bits that can be arranged in the system. What formula can he use?

Answer 1

Answer: $2^{n} -1$

Justification:

As told in the statement, n stands for the number of bits, and  $2^{n}$ is the highest number of ways n bits can be arranged in the system.

Now, Antonio wants to show that the character can collect one less key than that. So, that number is $2^{n}$ less 1, which is what the formula $2^{n}$ - 1 states.