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

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Director
Joined: 26 Feb 2006
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Find S. (1) S^4=S! (2) S^4!=1 [#permalink]  14 May 2007, 20:01
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Find S.

(1) S^4=S!
(2) S^4!=1
Senior Manager
Joined: 03 May 2007
Posts: 272
Followers: 1

Kudos [?]: 8 [0], given: 0

[#permalink]  14 May 2007, 20:32
(1) is sufficient S^4=S! there is only one solution S=1
(2) is insufficient S^4!=1 is the same as S^24=1 and S can be either 1 or -1

SVP
Joined: 01 May 2006
Posts: 1798
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Kudos [?]: 102 [0], given: 0

[#permalink]  14 May 2007, 22:20
(A)... I agree with Sergey_is_cool

Just in stat2, S=0 is also possible as 0! = 1
[#permalink] 14 May 2007, 22:20
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# Find S. (1) S^4=S! (2) S^4!=1

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