For 40 and 41, use the definition of the Euler phi function
from Section 7.1, exercises 51-53.
Use the inclusion/exculsion principle to prove the folloeing: If , where and r are distinct prime numbers, then .
To prove the following: if , where are distinct prime numbers, then by using the inclusion/exclusion priniciple.
The inclusion/Exclusion Rule for two or three sets.
If where are distinct prime number.
By definition of Euler phi functions , if is a prime number and is an integer with , then
Let be the set of all integers that are divisible by respectively
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