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A Door Lock Is Opened by Pushing a Sequence of Buttons

question 16

Essay

A door lock is opened by pushing a sequence of buttons. Each of the three terms in the combination is entered by pushing either one button or two buttons simultaneously. If there are 5 buttons, how many different combinations are there? (Example: 1-3, 2, 2-4 is a valid combination.)


Definitions:

Decluttered Area

A space that has been organized by removing unnecessary items, resulting in a tidy and clear environment.

Transitional Expression

Words or phrases used to link ideas, sentences, or paragraphs together smoothly, helping to improve the flow of writing or speech.

Airbag

A safety device in vehicles, consisting of a bag designed to inflate rapidly during a collision to prevent injury.

Collision

An instance where two or more objects or entities come into forceful contact with each other.

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