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# The function f is defined for all positive integers n by the

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The function f is defined for all positive integers n by the [#permalink]  28 Jul 2007, 18:46
The function f is defined for all positive integers n by the following rule:
f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number the f(p)=

A) p-1

B) p-2

C) (p+1)/2

D) (p-1)/2

E) 2
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Re: Problem Solving Question [#permalink]  28 Jul 2007, 19:57
tmuckens wrote:
The function f is defined for all positive integers n by the following rule:
f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number the f(p)=

A) p-1

B) p-2

C) (p+1)/2

D) (p-1)/2

E) 2

I'd say it's A, p-1. If p is prime then every positive number less than p fits the criteria of the function, even 1. (1 has no factor in common with p other than one) To visualize this one I chose p=17.
Re: Problem Solving Question   [#permalink] 28 Jul 2007, 19:57
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