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# Find S. (1) S^4=S! (2) !=1

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SVP
Joined: 03 Feb 2003
Posts: 1607
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Find S. (1) S^4=S! (2) !=1 [#permalink]  18 Dec 2004, 17:18
Find S.

(1) S^4=S!
(2) [S^4]!=1

CIO
Joined: 09 Mar 2003
Posts: 463
Followers: 2

Kudos [?]: 35 [0], given: 0

A.

in the first one, S must equal 1.

In the second one, S could be 0 or 1.
SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 84 [0], given: 0

ian7777 wrote:
A.

in the first one, S must equal 1.

In the second one, S could be 0 or 1.

In the second one S can be -1
Director
Joined: 07 Nov 2004
Posts: 690
Followers: 5

Kudos [?]: 30 [0], given: 0

I agree with Ian, A.

I did not think about -1 too
But do you have factorial for negative numbers. I thought it was only for positive numbers
SVP
Joined: 03 Feb 2003
Posts: 1607
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Kudos [?]: 84 [0], given: 0

gayathri wrote:
I agree with Ian, A.

I did not think about -1 too
But do you have factorial for negative numbers. I thought it was only for positive numbers

I don't have factorials for negative numbers. It works for 0 too.
CEO
Joined: 15 Aug 2003
Posts: 3467
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Kudos [?]: 718 [0], given: 781

welcome back, stolyar
SVP
Joined: 03 Feb 2003
Posts: 1607
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Kudos [?]: 84 [0], given: 0

Exams are over. The last one was marketing.
I need to drop by more often--still want to write about Michigan.
VP
Joined: 25 Nov 2004
Posts: 1494
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Kudos [?]: 40 [0], given: 0

excellent problem.

Last edited by MA on 19 Dec 2004, 07:40, edited 1 time in total.
Director
Joined: 07 Nov 2004
Posts: 690
Followers: 5

Kudos [?]: 30 [0], given: 0

From 1, S cannot be 0 as 0! is always 1 but 0^4 is 0.
VP
Joined: 25 Nov 2004
Posts: 1494
Followers: 6

Kudos [?]: 40 [0], given: 0

gayathri wrote:
From 1, S cannot be 0 as 0! is always 1 but 0^4 is 0.

yes, i agree with you. therefore, i edited my reply. i thought 0 to the power is 1. thanks gayathri.
CIO
Joined: 09 Mar 2003
Posts: 463
Followers: 2

Kudos [?]: 35 [0], given: 0

stolyar wrote:
ian7777 wrote:
A.

in the first one, S must equal 1.

In the second one, S could be 0 or 1.

In the second one S can be -1

you're right...didn't think about that one. that only makes it less reliable. Still A.
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