Some doors on cars can be opened by pressing a correct sequence of buttons. A display of

Question:

Some doors on cars can be opened by pressing a correct sequence of buttons. A display of the five buttons by the door handle of a car follows.

9 -0 7-8 3 - 4 5 -6 1-2

On most cars, although each key lists two numbers, the key acts as a single number. Therefore, if your code is 1, 6, 8, 5, 3, the code 2, 5, 7, 6, 4 will also open the lock.

The correct sequence of five buttons must be pressed to unlock the door.

(a) How many different sequences of five buttons are possible (repetition is permitted)? 

(b) If a sequence of five buttons is pressed at random, determine the probability that the sequence unlocks the door.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

Question Posted: