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anonymous

  • 5 years ago

what is 10C6?

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  1. anonymous
    • 5 years ago
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    This generally means how many ways can you count 6 things from 10. in this case it is 210

  2. anonymous
    • 5 years ago
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    same as \[\dbinom{10}{6}\]

  3. anonymous
    • 5 years ago
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    sooo 10*9*8**6*5*4/6?

  4. anonymous
    • 5 years ago
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    ok yes, as long as the 6 in your denominator is really 6*5*4*3*2

  5. anonymous
    • 5 years ago
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    and the missing 7 is a typo.

  6. anonymous
    • 5 years ago
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    25200?

  7. anonymous
    • 5 years ago
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    but there is an easier way to do this. it is fairly clear that \[\dbinom{10}{6}=\dbinom{10}{4}\] since picking 6 out of ten people to invite to dinner is the same as picking 4 to exclude. it is easier to think of the second.

  8. anonymous
    • 5 years ago
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    \[\frac{10\times9 \times 8\times 7}{4\times 3\times 2}\]

  9. anonymous
    • 5 years ago
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    2520? or 210?

  10. anonymous
    • 5 years ago
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    or \[\frac{10 \times9 \times 8\times 7\times 6\times 5\times 4}{6 \times 5 \times4 \times3\times 2}\]

  11. anonymous
    • 5 years ago
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    210

  12. anonymous
    • 5 years ago
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    youre right! ty

  13. anonymous
    • 5 years ago
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    wecome. general formula is \[dbinom{n}{k}=\frac{n!}{k!\times (n-k)!}\] but you really don't want to compute that way. cancel first, multiply last.

  14. anonymous
    • 5 years ago
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    oops \[\dbinom{n}{k}\]

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