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Math Help - This really is urgent (1 question)

  1. #1
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    Exclamation This really is urgent (1 question)

    okay , I have no idea how to work this out.

    This is the question.....

    There is a class who are having a competition, they have to guess the right combination of numbers.

    The combination is ten numbers long, however the only numbers used are 1 2 and 3

    The numbers are drawn from a giant basket, which contains 1 thousand no.1 balls ... 1 thousand no.2 balls and 1 thousand no.3 balls.. (stupid i know ahaha). NOTE : when a number is drawn it is put back in the basket with the other balls SO THERE IS ALWAYS THE SAME CHANCE OF DRAWING 1 2 OR 3 AND THE BALLS WILL NEVER RUN OUT

    What is the total number of possible combinations?

    examples of possible combinations

    3131223132
    1111111111
    2121212121
    3122212132

    You get the idea......

    the actual answer i need is

    What is the total number of possible combinations
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  2. #2
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    3^{10}
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  3. #3
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    Quote Originally Posted by Plato View Post
    3^{10}
    Thank you so much for the fast reply, but I do not understand you.. I was looking for more of a number like 1846 or something

    what does 3^{10} mean?
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  4. #4
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    Go to bed.
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  5. #5
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    Quote Originally Posted by UsainBolt View Post
    bumppppppp it's 00:12 in the uk i have to go to bed soon! please help!
    Unless lives are at stake, nothing justifies bumping in the space of 10 minutes. Let alone bumping twice.

    3^{10} means 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3.

    This is the answer because there are 10 'pigeon holes' for the number and there are three possibilities for each 'pigeon hole'.


    Edit: Three bumps in 10 minutes. A new world record. I can hardly blame Plato for his second reply in this thread.
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