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# A sequence is formed by selecting 4 numbers from the set

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CEO
Joined: 15 Aug 2003
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A sequence is formed by selecting 4 numbers from the set [#permalink]

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17 Dec 2003, 03:31
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A sequence is formed by selecting 4 numbers from the set {1,2,3,4,5,6,7,8,9}. these sequences will be distributed to participants of a game show. If 36 of the sequences were left over after one sequence was assigned to each participant, how many participants were there.?

(note : for example, sequence 4567 is different from sequence 6547)

Last edited by Praetorian on 17 Dec 2003, 07:00, edited 1 time in total.
Director
Joined: 13 Nov 2003
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Location: BULGARIA
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Kudos [?]: 52 [0], given: 0

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17 Dec 2003, 07:58
Agree but it is -36, not 32, but the final number is OK!
Director
Joined: 14 Oct 2003
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Location: On Vacation at My Crawford, Texas Ranch
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Kudos [?]: 53 [0], given: 0

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17 Dec 2003, 11:04
I get 2988 as well

(9*8*7*6)-36=2988

That's a heck of a lot of contestants for a game show!!
Senior Manager
Joined: 11 Nov 2003
Posts: 357
Location: Illinois
Followers: 1

Kudos [?]: 5 [0], given: 0

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23 Dec 2003, 17:39
People,

The question does not say that one digit can not be used multiple times in a sequence. That is 4433, 4444 could also be diferent sequences.

In that case the total number of participants = 9^4 - 36 = 6561.

Senior Manager
Joined: 05 May 2003
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Location: Aus
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Kudos [?]: 10 [0], given: 0

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23 Dec 2003, 18:32
gmatblast wrote:
People,

The question does not say that one digit can not be used multiple times in a sequence. That is 4433, 4444 could also be diferent sequences.

In that case the total number of participants = 9^4 - 36 = 6561.

Read the first line of the problem, there, 4 is given only once. You need to select the numbers from that set only.
23 Dec 2003, 18:32
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