You are asked to create a 4​-character ​password, and each character may be any of the 26 letters of the alphabet or the 10 numerals 0 through 9. How many different passwords are​ possible? Explain your reasoning. A) 364, because there are 26 + 10 = 36 different characters to choose from, so there are 364 different arrangements possible. B) 36, because there are 26 + 10 = 36 different arrangements of characters. C) 36, because there are 26 + 10 = 36 different characters to choose from. D) 264 + 104, because there are 264 different letters to choose from and 104 different numerals to choose from. E) 264 + 104, because there are 264 different arrangements of the letters and 104 different arrangements of the numerals 0 through 9.

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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You are asked to create a 4​-character ​password, and each character may be any of the 26 letters of the alphabet or the 10 numerals 0 through 9. How many different passwords are​ possible? Explain your reasoning.

A) 364, because there are 26 + 10 = 36 different characters to choose from, so there are 364 different arrangements possible.

B) 36, because there are 26 + 10 = 36 different arrangements of characters.

C) 36, because there are 26 + 10 = 36 different characters to choose from.

D) 264 + 104, because there are 264 different letters to choose from and 104 different numerals to choose from.

E) 264 + 104, because there are 264 different arrangements of the letters and 104 different arrangements of the numerals 0 through 9.

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