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Math Help - different arrangments number of ways

  1. #1
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    different arrangments number of ways

    Eight different colored blocks are in a box.
    How many different color arrangements taking
    eight blocks at a time can be made on a table.
    (Note: Order makes a different arrangement.)
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  2. #2
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    different arrangments..Help pleeez ?

    If I understand this correctly, there are eight blocks, and all of them will be used each time - it's just a question of what order they get used in.

    So there are 8 blocks you could pull the first time out.
    There are 7 blocks left that you could pull the second time out.
    Then, there are 6 blocks left that you could pull the third time out.
    There are 5 blocks left that you could pull the fourth time out.

    Etc.

    The idea is that the number of combinations should be 8*7*6*5*4*3*2*1 = 40,320, based on the above.

    - Steve J
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  3. #3
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    There are 8 different blocks and so the number of arrangements of 8 blocks possible is 8!
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  4. #4
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    ya'll are the best...
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