Chapter 13.1, Problem 33STP

To determine

Find the maximum number of different passwords, choose the correct option.

Answer to Problem 33STP

Option $G)30,240$ is correct.

Explanation of Solution

Given information:

Brad’s password must be five digits long, use the numbers $0-9$ without repeat.

Options:-

  $F)15,120G)30,240H)59,049J)100,000$

Calculation:

A password is made up of five digits from $0-9$ without repeated,

Now we have ten choices for the first digit of the password, nine choices for the second digit, eight choices for the third digit, seven choices for the fourth digit, six choices for the fifth digit

So the total possible passwards are,

  $10\times 9\times 8\times 7\times 6=30,240$

Hence, option $G)30,240$ is correct.