Let us say that we are going to create eight letter passwords from a set of 23 letters (all of the alphabet except I, L and O) plus the 10 numerics and the five symbols #$&+-   How many different ways could they be selected if we allow a symbol to be used as many times as possible?     How many different ways could they be selected if we do not allow a symbol to be reused and order is important?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 3ECP: A combination lock will open when you select the right choice of three numbers (from 1 to 30,...
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  1. Let us say that we are going to create eight letter passwords from a set of 23 letters (all of the alphabet except I, L and O) plus the 10 numerics and the five symbols #$&+-

 

  1. How many different ways could they be selected if we allow a symbol to be used as many times as possible?

 

 

  1. How many different ways could they be selected if we do not allow a symbol to be reused and order is important?

 

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