A certain four-cylinder combination lock has 45 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a thirdnumber on the third cylinder and so on until a four-number lock combination Icombination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try?been effected. Repetitions are allowed, and any of the 45 numbers can be used at each step to form the(a) The number of different four-number lock combinations is(Type an integer or fraction. Simplify your answer.)

Answered: A certain four-cylinder combination…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A certain four-cylinder combination lock has 45 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third
number on the third cylinder and so on until a four-number lock combination I
combination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try?
been effected. Repetitions are allowed, and any of the 45 numbers can be used at each step to form the
(a) The number of different four-number lock combinations is
(Type an integer or fraction. Simplify your answer.)

Expert Solution

Step 1

Given that a certain four-cylinder combination lock has 45 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a four-number lock combination has been effected. Repetitions are allowed, and any of the 45 numbers can be used at each step to form the combination.

We this information we have to solve parts a and b.