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CEO
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A sequence is formed by selecting 4 numbers from the set [#permalink]
 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.
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Director
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Agree but it is -36, not 32, but the final number is OK!
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Director
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I get 2988 as well
(9*8*7*6)-36=2988
That's a heck of a lot of contestants for a game show!! 
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Senior Manager
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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.
Any comments?
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Director
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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.
Any comments?
Read the first line of the problem, there, 4 is given only once. You need to select the numbers from that set only.
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