Find the number of possible passwords can she create in this way.
Answer to Problem 42HP
Option G is the correct choice.
Explanation of Solution
Given:
Latisha wants to create a 7 − character password. She wants to use an arrangement of the first 3 letters of her first name (lat), followed by an arrangement of 4 digits in 1986, the year she was born. How many possible passwords can she create in this way?
4 Options are: F − 72; G − 144; H − 288; J − 576;
Concept Used:
We have 3 letters for the first 3 characters, and then there are 3 choices for the first, 2 choices for the second and 1 choice for the third letter.
Next we have 4 options for the first digit, 3 for the second, 2 for the third and 1 for the last.
We multiply them all together for the answer we are looking for:
Option G is the correct choice.
Thus, Option G is the correct choice.
Chapter 11 Solutions
Algebra 2
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