Example 3.17. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long. 1. How many choices are there if you may use a number multiple times and the order matters? 2. How many choices are there if you may not use a number multiple times and the order matters? 3. How many choices are there if you may not use a number multiple times and the order does not matter?
Example 3.17. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long. 1. How many choices are there if you may use a number multiple times and the order matters? 2. How many choices are there if you may not use a number multiple times and the order matters? 3. How many choices are there if you may not use a number multiple times and the order does not matter?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Example 3.17. Suppose you are working on a
ten-digit keypad to open a door. You know the
combination is exactly three digits long.
1. How many choices are there if you may use a
number multiple times and the order
matters?
2. How many choices are there if you may not
use a number multiple times and the order
matters?
3. How many choices are there if you may not
use a number multiple times and the order
does not matter?
4. How many choices are there if you may use a
number multiple times and the order does
not matter?
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