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Math Help - Is order important here?

  1. #1
    Member billym's Avatar
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    Is order important here?

    How many ways can you distribute 42 objects among 8 people if the first 4 must get exactly 25 between them?

    Is it:

    \frac{8!}{4!4!}4^{25}4^{17}

    or just:

    4^{25}4^{17}

    or neither?
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  2. #2
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    Quote Originally Posted by billym View Post
    How many ways can you distribute 42 objects among 8 people if the first 4 must get exactly 25 between them?
    I think that this is very odd question.
    But the answer I would give is: \binom{42}{25}4^{25}4^{17}.
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  3. #3
    Member billym's Avatar
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    Forgot to mention that the objects are identical.
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  4. #4
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    Quote Originally Posted by billym View Post
    Forgot to mention that the objects are identical.
    Well that was a real oversight.
    \binom{25+4-1}{25}\binom{17+4-1}{17}
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