lock on a bank vault consists of three dials, each with 30 positions. In order for the vault to open, each of the three dials must be in the correct position. a. How many different possible dial combinations are there for this lock? b. What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault? c. Explain why "dial combinations" are not mathematical combinations expressed by the equation nCx=n!x!(n−x)!.
lock on a bank vault consists of three dials, each with 30 positions. In order for the vault to open, each of the three dials must be in the correct position. a. How many different possible dial combinations are there for this lock? b. What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault? c. Explain why "dial combinations" are not mathematical combinations expressed by the equation nCx=n!x!(n−x)!.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A lock on a bank vault consists of three dials, each with
30
positions. In order for the vault to open, each of the three dials must be in the correct position.|
a.
|
How many different possible dial combinations are there for this lock?
|
|
b.
|
What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault?
|
|
c.
|
Explain why "dial combinations" are not mathematical combinations expressed by the equation
nCx=n!x!(n−x)!.
|
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