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eugeniaday Group Title

7!*8!*3!/5!*9!

  • one year ago
  • one year ago

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  1. UnkleRhaukus Group Title
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    \[n!=n\times(n-1)!\]

    • one year ago
  2. eugeniaday Group Title
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    what is n

    • one year ago
  3. UnkleRhaukus Group Title
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    some natural number

    • one year ago
  4. eugeniaday Group Title
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    so if its not a number how would i solve this

    • one year ago
  5. Azteck Group Title
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    Well you're diverting yourself to your own question here.

    • one year ago
  6. UnkleRhaukus Group Title
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    \[\frac{\color{teal}{7!}\times8!\times3!}{5!\times\color{orange}{9!}}=\frac{\color{teal}{7\times6\times5!}\times8!\times3!}{5!\times\color{orange}{9\times8!}}\]

    • one year ago
  7. eugeniaday Group Title
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    72576

    • one year ago
  8. UnkleRhaukus Group Title
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    \[n!=n\times(n-1)!\]\[\quad=n\times(n-1)\times(n-2)!\]\[\quad=n\times(n-1)\times(n-2)\times\cdots\times3\times2\times1\]

    • one year ago
  9. eugeniaday Group Title
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    no still not getting

    • one year ago
  10. UnkleRhaukus Group Title
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    for example \[4!=4\times3\times2\times1\]\[6!=6\times5\times4\times3\times2\times1\] \[\frac{4!}{6!}=\frac{4\times3\times2\times1}{6\times5\times4\times3\times2\times1}=\frac{4!}{6\times5\times4!}=\frac1{6\times5}=\frac1{30}\]

    • one year ago
  11. UnkleRhaukus Group Title
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    the trick is to cancel common factors ,

    • one year ago
  12. eugeniaday Group Title
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    i subtract the 7 and 3 on the top so i would have 8*6*5*4*2*1/8*7*6*4*3*2*1

    • one year ago
  13. UnkleRhaukus Group Title
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    \[\frac{{7!}\times8!\times3!}{5!\times{9!}}=\frac{{7\times6\times5!}\times8!\times3!}{5!\times{9\times8!}}=\frac{{7\times6\times\cancel{5!}}\times\cancel{8!}\times3!}{\cancel{5!}\times9\times\cancel{8!}}\]

    • one year ago
  14. eugeniaday Group Title
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    so 14

    • one year ago
  15. eugeniaday Group Title
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    but why didnt you right it out all the way as in 7*6*5*4*3*2*1 for all the numbers on top and bottom then facter them out

    • one year ago
  16. UnkleRhaukus Group Title
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    i choose not to fully expand the factorials because it takes to much space and time, bytheway 14 isn't quite right

    • one year ago
  17. eugeniaday Group Title
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    what its not that was one of the options

    • one year ago
  18. UnkleRhaukus Group Title
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    can you show me your working

    • one year ago
  19. agent0smith Group Title
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    @eugeniaday if you do these on your calculator, make sure you use parentheses! 7!*8!*3!/5!*9! is NOT the same as 7!*8!*3!/(5!*9!), and your calculator can't instinctively know what you *meant* to enter.

    • one year ago
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