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Consider all positive integers with seven different digits. (Note that zero cannot be the first digit, and by different, we mean that there is no repeated digit in the number.) b.) Find the number of them which is greater than 8000000.   c.) Find the number of them which are odd.   d.) Find the number of them which are divisible by 5.

Consider all positive integers with seven different digits. (Note that zero cannot be the first digit, and by different, we mean that there is no repeated digit in the number.) b.) Find the number of them which is greater than 8000000.   c.) Find the number of them which are odd.   d.) Find the number of them which are divisible by 5.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. Consider all positive integers with seven different digits. (Note that zero cannot be the first digit, and by different, we mean that there is no repeated digit in the number.)

b.) Find the number of them which is greater than 8000000.

 

c.) Find the number of them which are odd.

 

d.) Find the number of them which are divisible by 5.

Expert Solution
Step 1

Given that we have to find all positive integers with seven different digits which satisfy the given conditions.

we have digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

 

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