1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function, ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16

Advanced Engineering Mathematics
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1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,
ϕ (n), expresses the number of positive integers less than n that are relatively prime with n.


Choose the alternative that has the correct value of ϕ(n) for every n below.

A) ϕ(5) = 4

B) ϕ(6) = 2

C) ϕ(10) = 3

D) ϕ(14) = 6

E) ϕ(17) = 16

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