Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.
The order is important as abcde is a different password than edcba, hence the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>The number of possible permutations of x elements from a set of n elements is given by:
In this problem, 5 letters are chosen from a set of 7, hence:
2520 distinct passwords can be made.
More can be learned about the permutation formula at brainly.com/question/25925367