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Math Help - Need proof

  1. #1
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    Need proof

    Can some give me a proof to this claim? I have in my notebook but I don't understand it. Thank you.
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  2. #2
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    Re: Need proof

    That looks to me like a basic "combinatorics" calculation. Since U has dimension "k" over F, each vector in U can be written as a ordered k-tuple of elements of F. F contains "q" objects so the number of ways to do that is q(q)...(q) k times: q^k
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