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Homework Help Forum: 5th grade

Posted by marissa on Tuesday, October 6, 2009 at 8:44pm.

How many different four-digit numbers can you make from the digits 1,2,3, and 4 if each digit is used only once?

  • 5th grade - Kelly, Tuesday, October 6, 2009 at 9:07pm

    1234
    1324
    1432
    1243
    1423
    1342
    2134
    2143
    2341
    2314
    2431
    2413
    3124
    3142
    3241
    3214
    3412
    3421
    4321
    4312
    4123
    4132
    4231
    4213

    24
    there are 4 numbers...each can be used only once but 6 different ways
    6x4=24

  • 5th grade - Cliff, Thursday, October 8, 2009 at 9:45am

    This is a problem class known as permutations. There are 4 choices for your first number (i.e, 1,2,3,4)followed by 3 ways to pick the next number since there are only 3 numbers left. This leaves 2 ways to pick the next number and 1 way to pick the remaining number.

    4*3*2*1 = 24

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