Question

An Airbnb home has installed a combination lock with push buttons labeled A though F (six buttons) and uses four of these buttons in any order. Push Buttons cannot be used more than once to unlock the door. For example, a code such as AFDC is allowed, but AFDA is not. How many different codes does this lock provide? Multiple Choice 180 24 1,296 360

Answer 1

The number of different codes does this lock provides is 360.

Given that,

• There is the combination lock having push buttons from A to F (6 buttons)
• Out of this, four should be in any order.
• Also, the push button should not be used more than once.

Based on the above information, here we use permutation which is as follows:

$= ^6P_4\\\\= \frac{6!}{(6-4)!}$

= 360

Therefore we can conclude that the number of different codes does this lock provides is 360.

Learn more: brainly.com/question/23283166