Solve the problem.
-A secured elevator allows access by pressing the correct sequence of letters on a control panel. If the control panel contains the 26 letters of the alphabet and a five-letter code must be entered (repetition is not permitted).
How many different codes are possible?
A)358,800
B)21
C)7,893,600
D)5

Question

Quizplus · Accepted Answer

The first letter can be any of the 26 letters, the second can be any of the remaining 25 letters, the third can be any of the remaining 24 letters, the fourth can be any of the remaining 23 letters, and the fifth can be any of the remaining 22 letters. Therefore, the total number of codes is:
26 x 25 x 24 x 23 x 22 = 7,893,600. Thus, the answer is C. There are 26 options for the first letter, 25 for the second, 24 for the third, 23 for the fourth, and 22 for the fifth. To find the total number of possible codes, we multiply these numbers together: 26 x 25 x 24 x 23 x 22 = 7,893,600. Therefore, the correct answer is C.

Solve the Problem. -A Secured Elevator Allows Access by Pressing the Correct Sequence