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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]

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15 Dec 2007, 17:16
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The function f is defined for all positive integers n by the following rule: f(n) is the number of postive 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 then f(p) =

a p - 1
b p - 2
c p+1/2
d p-1/2
e 2

Any ideas???
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15 Dec 2007, 18:53
Ant wrote:
The function f is defined for all positive integers n by the following rule: f(n) is the number of postive 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 then f(p) =

a p - 1
b p - 2
c p+1/2
d p-1/2
e 2

Any ideas???

A. p-1.

if p = 5, f(p) = 4, 3, 2, and 1. so altogather 4 which is equal to p-1 = 5-1.
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15 Dec 2007, 22:21
GMAT TIGER wrote:
Ant wrote:
The function f is defined for all positive integers n by the following rule: f(n) is the number of postive 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 then f(p) =

a p - 1
b p - 2
c p+1/2
d p-1/2
e 2

Any ideas???

A. p-1.

if p = 5, f(p) = 4, 3, 2, and 1. so altogather 4 which is equal to p-1 = 5-1.

Nice I originally said B, but the stem says "has no positive factor in common with n other than 1" so 1 is also counted.
Re: Functions   [#permalink] 15 Dec 2007, 22:21
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