A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with the digits 0, 1, 2, 3, 4, 5: 1- If repetition of digits is not allowed? 2- If repetition of digits is allowed? 3- Not divisible by 4 or 9?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 18E
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A1. How many integers, greater than or equal to10000 but less than or equal to
39999, can be formed with the digits 0, 1, 2, 3, 4, 5:
1- If repetition of digits is not allowed?
2- If repetition of digits is allowed?
3- Not divisible by 4 or 9?
4- Numbers that contain number 3 once only and repetition is allowed.
I.
Transcribed Image Text:A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with the digits 0, 1, 2, 3, 4, 5: 1- If repetition of digits is not allowed? 2- If repetition of digits is allowed? 3- Not divisible by 4 or 9? 4- Numbers that contain number 3 once only and repetition is allowed. I.
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