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# Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used

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SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 308 [0], given: 0

Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used [#permalink]

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05 Jul 2003, 08:20
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Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used more than once, how many 3-digit numbers smaller than 600 can be made?

Kudos [?]: 308 [0], given: 0

Manager
Joined: 25 Jun 2003
Posts: 93

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

Re: Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used [#permalink]

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06 Jul 2003, 05:48
First Digit needs to be 5 only.

Second digit is one among 6,7,8,9 = 4 ways

Third digit is one among the 3 numbers left = 3 ways

Total 3-digit numbers we can make = 1X4X3 = 12
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Kudos [?]: [0], given: 0

Director
Joined: 01 Feb 2011
Posts: 725

Kudos [?]: 146 [0], given: 42

Re: Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used [#permalink]

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15 Apr 2011, 15:28
1*4*3 = 12

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Kudos [?]: 146 [0], given: 42

TOEFL Forum Moderator
Joined: 16 Nov 2010
Posts: 1602

Kudos [?]: 600 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Re: Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used [#permalink]

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15 Apr 2011, 20:53
1st digit in - 1 way and remaining ones can be arranged in - 4P2 ways

1 * 4!/2! = 12 numbers
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Kudos [?]: 600 [0], given: 40

Re: Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used   [#permalink] 15 Apr 2011, 20:53
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