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raleung2 Group Title

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?

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

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

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

    • 2 years ago
  4. amistre64 Group Title
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    16P5 ----- = 16C5 5!

    • 2 years ago
  5. raleung2 Group Title
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    and that equals??

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

    • 2 years ago
  7. raleung2 Group Title
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    ok. then whats the final anseer?

    • 2 years ago
  8. satellite73 Group Title
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    \[\dbinom{16}{5}\] but that doesn't answer the question, it just restates it in notation

    • 2 years ago
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