You want to create a password for a certain application subject to the following requirements. The password • must be of length 8 • must contain five lower case letters (from the alphabet with 26 letters) in the first five positions must contain three digits (from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in the last three positions repetition of letters or numbers are NOT allowed In how many ways can you choose the letters that will be used in the first five positions?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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How many password variations could there be? 

You want to create a password for a certain application subject to the following requirements. The
password
• must be of length 8
• must contain five lower case letters (from the alphabet with 26 letters) in the first five positions
• must contain three digits (from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in the last three positions
repetition of letters or numbers are NOT allowed
In how many ways can you choose the letters that will be used in the first five positions?
●
Transcribed Image Text:You want to create a password for a certain application subject to the following requirements. The password • must be of length 8 • must contain five lower case letters (from the alphabet with 26 letters) in the first five positions • must contain three digits (from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in the last three positions repetition of letters or numbers are NOT allowed In how many ways can you choose the letters that will be used in the first five positions? ●
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