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raleung2

  • 3 years ago

A science class must choose 5 out of 16 science fair projects to advance to the county competition. How many different groups of projects could be selected?

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  1. amistre64
    • 3 years ago
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    16 chances on the first pick 15 on the second pick 14, then 13 then 12 ... then its full

  2. amistre64
    • 3 years ago
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    but, that counts abc as different from bca

  3. amistre64
    • 3 years ago
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    to weed out the repeats since groups dont care about order we can divide that by 5!

  4. amistre64
    • 3 years ago
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    16P5 ----- = 16C5 5!

  5. raleung2
    • 3 years ago
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    and that equals??

  6. amistre64
    • 3 years ago
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    you should have material that explains the notation better than I can

  7. raleung2
    • 3 years ago
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    ok. then whats the final anseer?

  8. anonymous
    • 3 years ago
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    \[\dbinom{16}{5}\] but that doesn't answer the question, it just restates it in notation

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