How many 8 letter passwords are there if they have to contain exactly one upper case letter and at least one digit (and all the rest are lower case letters)? What if instead they have to contain at least one upper case letter and one digit?

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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How many 8 letter passwords are there if they have to contain exactly one upper case letter and at least one digit (and all the rest are lower case letters)? What if instead they have to contain at least one upper case letter and one digit?

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