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    mashell's Avatar
    mashell Posts: 5, Reputation: 1
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    #1

    Mar 27, 2011, 09:53 AM
    Given the set of digits{2,3,4,7,8,9} how many three-digit numbers can be formed?
    Given the set of digits{2,3,4,7,8,9} how many three-digit numbers can be formed?
    Stratmando's Avatar
    Stratmando Posts: 11,188, Reputation: 508
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    #2

    Mar 27, 2011, 10:13 AM

    Hope there is a magic Formula, that someone knows, otherwise:
    You could start with 234, 237, 238, 239. 243, 247, 248, 249, 273, 274,278, 279, 283, 284, 287, 289, 293, 294, 297, and 298.
    See if I missed some of the set that starts with a 2. I would think ever how many numbers is found with 2's should be able to be multiplied by 6, as each number should have the same to a starting number.
    Couple of good Math Guys/Girls? Could give good input.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Mar 27, 2011, 10:37 AM

    If repetition is allowed, then there are

    numbers that can be formed.

    If repetition is not allowed, then there are

    numbers that can be formed.

    When forming 3 digit numbers, order is important.

    So,

    Stratmando, you're on the right track. You have 20 listed that start with 2.

    There are 6 digits, so 20*6=120
    Stratmando's Avatar
    Stratmando Posts: 11,188, Reputation: 508
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    #4

    Mar 27, 2011, 01:15 PM

    Galactus, I was going to mention you, but didn't wan't to leave someone out so I mentioned no one
    Hey, Cool that it works out(20 combinations X 6 = 120).
    I love Math and figuring, barely made it through High School. I Love solving problems.

    Galactus,
    I have a couple of Locks, I lost the Keys, and when pulling the pins, I accidentally dumped them, there are 4 different pins, 2 are the same length, What are the total number of keys to be made to insure 1 of them works?

    Thanks, you are ALWAYS good on this stuff. Take care.
    mashell's Avatar
    mashell Posts: 5, Reputation: 1
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    #5

    Mar 27, 2011, 02:56 PM
    Given the set of digits{2,3,4,7,8,9} how many three-digit odd numbers can be formed
    Given the set of digits{2,3,4,7,8,9} how many three-digit odd numbers can be formed
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #6

    Mar 27, 2011, 03:01 PM
    Half as many as in your previous question.
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