bac-s-maths 2021 Q5

bac-s-maths · France · bac-spe-maths__centres-etrangers_j2 1 marks Permutations & Arrangements Forming Numbers with Digit Constraints
Question 5: An unknown code consists of 8 characters. Each character can be a letter or a digit. There are therefore 36 usable characters for each position.
A code-breaking software tests approximately one hundred million codes per second. In how much time at most can the software discover the code?
\begin{tabular}{l} a. approximately 0.3
seconds
& b. approximately 8 hours & c. approximately 3 hours &
d. approximately 470
hours
\hline \end{tabular}
\textbf{Question 5:} An unknown code consists of 8 characters.\\
Each character can be a letter or a digit. There are therefore 36 usable characters for each position.\\
A code-breaking software tests approximately one hundred million codes per second. In how much time at most can the software discover the code?

\begin{center}
\begin{tabular}{ | l | l | l | l | }
\hline
\begin{tabular}{l} a. approximately 0.3 \\ seconds \\ \end{tabular} & b. approximately 8 hours & c. approximately 3 hours & \begin{tabular}{l} d. approximately 470 \\ hours \\ \end{tabular} \\
\hline
\end{tabular}
\end{center}