A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick from). 1. How many different lock codes can there be if the digits can be repeated? For example, a code can be 0000. 2. Explain how you got your answer. 3. How many different lock codes are there if each digit may only be used once? For example, a code can not be 0103 because 0 cannot be used more than once. Explain your thinking. 4. Explain how you got your answer.
A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick from). 1. How many different lock codes can there be if the digits can be repeated? For example, a code can be 0000. 2. Explain how you got your answer. 3. How many different lock codes are there if each digit may only be used once? For example, a code can not be 0103 because 0 cannot be used more than once. Explain your thinking. 4. Explain how you got your answer.
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

Transcribed Image Text:A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick
from).
1. How many different lock codes can there be if the digits can be repeated? For example, a code
can be 0000.
2. Explain how you got your answer.
3. How many different lock codes are there if each digit may only be used once? For example, a
code can not be 0103 because 0 cannot be used more than once. Explain your thinking.
4. Explain how you got your answer.
Expert Solution

Step 1
Introduction
In the given scenario, a lock with 4 digits has been provided. We need to find out the possible lock codes for the given scenario. There are 10 numbers that would create a password for the lock (0 to 9). Since part 1 and part 2 are related, we will provide the solutions of both parts together in one step. Similarly, part 3 and part 4 are related, we will write them together in one step.
Step by step
Solved in 3 steps
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